{"product_id":"untangling-general-relativity-isbn-9781394355853","title":"Untangling General Relativity","description":"\u003cp\u003e\u003cb\u003eAn easy-to-read introduction to Einstein’s theory of general relativity\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eIn \u003ci\u003eUntangling General Relativity\u003c\/i\u003e, Simon Sherwood explains the details of general relativity with clarity, enthusiasm, and a sense of fun. Designed to be accessible to non-experts, the book combines intuitive explanations with the essential mathematics needed for a deep understanding of the subject. Sherwood introduces that maths gradually and clearly, in a step-by-step program designed to expand your appreciation and grasp of general relativity. \u003c\/p\u003e\u003cp\u003e\u003ci\u003eUntangling General Relativity\u003c\/i\u003e serves as an effective springboard for more in-depth studies. It lays the groundwork for mastering the advanced topics covered in relativity textbooks and university physics courses. \u003c\/p\u003e\u003cp\u003eReaders will find: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eA thorough introduction to general relativity, including the interpretation of gravity as curved spacetime and a full derivation of Einstein’s field equations\u003c\/li\u003e \u003cli\u003eComprehensive explanations of the spacetime metric, the equivalence principle, the geodesic equation, and the energy-momentum and curvature tensors\u003c\/li\u003e \u003cli\u003e Vacuum curvature: the Schwarzschild and Kerr metrics, black holes, white holes, event horizons, and gravitational waves \u003c\/li\u003e \u003cli\u003eCosmology: the Friedmann equations, dark matter and energy, the Big Bang, inflation and an overview of current efforts to develop a quantum theory of gravity\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ePerfect for undergraduate students preparing to take a university-level physics course dealing with general relativity for the first time, \u003ci\u003eUntangling General Relativity\u003c\/i\u003e will also benefit students of the natural sciences and instructors and educators with a professional or academic interest in the subject. \u003c\/p\u003e\u003cp\u003e\u003cb\u003ePart I The Essentials\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Overview \u003c\/p\u003e \u003cp\u003e1.1 Einstein Field Equations \u003c\/p\u003e \u003cp\u003e1.2 Gravity as Curved Spacetime \u003c\/p\u003e \u003cp\u003e1.3 The Equivalence Principle \u003c\/p\u003e \u003cp\u003e1.4 Working Out the Details \u003c\/p\u003e \u003cp\u003e1.5 Gimme, Gimme, Gimme... Some Hard Evidence \u003c\/p\u003e \u003cp\u003e1.6 The Cosmological Constant \u003c\/p\u003e \u003cp\u003e1.7 Vacuum Curvature \u003c\/p\u003e \u003cp\u003e1.8 Cosmology \u003c\/p\u003e \u003cp\u003e1.8.1 The Expanding Universe \u003c\/p\u003e \u003cp\u003e1.8.2 An Accelerating Expansion \u003c\/p\u003e \u003cp\u003e1.8.3 The Big Picture \u003c\/p\u003e \u003cp\u003e1.9 The Field Equations in Full Form \u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Special Relativity \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Relativity \u003c\/p\u003e \u003cp\u003e2.2 The Speed of Light is Constant: So What? \u003c\/p\u003e \u003cp\u003e2.3 The Invariant Interval Equation \u003c\/p\u003e \u003cp\u003e2.4 Time Dilation Quantified \u003c\/p\u003e \u003cp\u003e2.5 Length Contraction \u003c\/p\u003e \u003cp\u003e2.6 Leading Clocks Lag \u003c\/p\u003e \u003cp\u003e2.7 Adding Things Up: An Apparent Paradox \u003c\/p\u003e \u003cp\u003e2.8 Energy and Momentum \u003c\/p\u003e \u003cp\u003e2.9 Energy, Momentum, Time and Space \u003c\/p\u003e \u003cp\u003e2.10 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 The Metric \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The Minkowski Metric \u003c\/p\u003e \u003cp\u003e3.2 Einstein’s Tensor and the Metric \u003c\/p\u003e \u003cp\u003e3.3 Distortion in the Metric \u003c\/p\u003e \u003cp\u003e3.4 Curvature, Dung Balls and a First Hint of Gravity \u003c\/p\u003e \u003cp\u003e3.5 A Mathematical Challenge \u003c\/p\u003e \u003cp\u003e3.6 Upper and Lower Indices \u003c\/p\u003e \u003cp\u003e3.7 Raising\/Lowering Indices With Wonky Metrics (Off-Diagonal Terms) \u003c\/p\u003e \u003cp\u003e3.8 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Covariant Derivatives and Christoffel Symbols \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Covariant Derivatives \u003c\/p\u003e \u003cp\u003e4.2 Christoffel Symbols \u003c\/p\u003e \u003cp\u003e4.2.1 What are Christoffel Symbols? \u003c\/p\u003e \u003cp\u003e4.2.2 Calculating the Value of Christoffel Symbols \u003c\/p\u003e \u003cp\u003e4.3 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 The Geodesic Equation and Gravity \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 A 2-D Model of Time Dilation and Gravitational Acceleration\u003c\/p\u003e \u003cp\u003e5.2 The Geodesic Equation\u003c\/p\u003e \u003cp\u003e5.3 What Happens to the Dung Beetle? \u003c\/p\u003e \u003cp\u003e5.4 Albert Versus Isaac: Differences Emerge \u003c\/p\u003e \u003cp\u003e5.5 Albert Versus Isaac: Seeing the Light\u003c\/p\u003e \u003cp\u003e5.6 A Victory for Einstein \u003c\/p\u003e \u003cp\u003e5.7 Time Dilation: Hafele-Keating and GPS \u003c\/p\u003e \u003cp\u003e5.8 Geodesic Summary\u003c\/p\u003e \u003cp\u003e5.9 Tensors: Why...? What...? How...?\u003c\/p\u003e \u003cp\u003e5.10 Where’s the Fridge?\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 The Equivalence Principle and Ricci Tensor \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 The Equivalence Principle \u003c\/p\u003e \u003cp\u003e6.1.1 A Planet With a Hole \u003c\/p\u003e \u003cp\u003e6.1.2 Light in a Gravitational Field \u003c\/p\u003e \u003cp\u003e6.2 From Newton’s Gravity to Geodesic Separation \u003c\/p\u003e \u003cp\u003e6.3 The Magnificent Ricci Tensor \u003c\/p\u003e \u003cp\u003e6.4 An Intuitive Explanation of the Ricci Tensor\u003c\/p\u003e \u003cp\u003e6.5 Vacuum Curvature: An Apparent Paradox \u003c\/p\u003e \u003cp\u003e6.6 The Ricci Scalar \u003c\/p\u003e \u003cp\u003e6.7 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 The Maths of Curvature \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Parallel Transport \u003c\/p\u003e \u003cp\u003e7.2 The Riemann Tensor \u003c\/p\u003e \u003cp\u003e7.2.1 Indices of the Riemann Tensor \u003c\/p\u003e \u003cp\u003e7.2.2 Calculating Components of the Riemann Tensor \u003c\/p\u003e \u003cp\u003e7.2.3 Deriving the Formula for the Riemann Tensor (Optional) \u003c\/p\u003e \u003cp\u003e7.3 Calculating the Ricci Tensor \u003c\/p\u003e \u003cp\u003e7.4 Calculating the Ricci Scalar \u003c\/p\u003e \u003cp\u003e7.5 Example Calculations: Aarrgghh! \u003c\/p\u003e \u003cp\u003e7.5.1 Symmetry Shortcut for Diagonal Metrics \u003c\/p\u003e \u003cp\u003e7.5.2 Flat Space with Polar Coordinates \u003c\/p\u003e \u003cp\u003e7.6 Hunting for Vacuum Solutions \u003c\/p\u003e \u003cp\u003e7.7 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 The Energy-Momentum Tensor \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Tensor Indices \u003c\/p\u003e \u003cp\u003e8.2 Introduction to the Energy-Momentum Tensor \u003c\/p\u003e \u003cp\u003e8.3 Mass Density Flow of Dust \u003c\/p\u003e \u003cp\u003e8.4 Energy-Momentum Tensor of Dust \u003c\/p\u003e \u003cp\u003e8.5 Symmetry of the Energy-Momentum Tensor \u003c\/p\u003e \u003cp\u003e8.6 Covariant Derivative of the Energy-Momentum Tensor \u003c\/p\u003e \u003cp\u003e8.7 Energy-Momentum Tensor of a Perfect Fluid \u003c\/p\u003e \u003cp\u003e8.8 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Deriving the Einstein Field Equations (EFEs) \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Why Does Energy-Momentum Curve Spacetime? \u003c\/p\u003e \u003cp\u003e9.2 Generalising Coordinates \u003c\/p\u003e \u003cp\u003e9.3 The Ricci Tensor: Why So Complicated? \u003c\/p\u003e \u003cp\u003e9.3.1 Riemann Symmetries Within the Ricci Tensor\u003c\/p\u003e \u003cp\u003e9.3.2 The Symmetries Complicate Things \u003c\/p\u003e \u003cp\u003e9.4 Deriving the Ricci Relationship \u003c\/p\u003e \u003cp\u003e9.4.1 Finding the Right Ricci Function: Tensor Contraction (Optional) \u003c\/p\u003e \u003cp\u003e9.5 What Does This Tell Us About Spacetime Curvature? \u003c\/p\u003e \u003cp\u003e9.5.1 Vacuum \u003c\/p\u003e \u003cp\u003e9.5.2 Rest Mass Energy \u003c\/p\u003e \u003cp\u003e9.5.3 Relating the Ricci Tensor to Energy-Density \u003c\/p\u003e \u003cp\u003e9.6 Curvature Footprints \u003c\/p\u003e \u003cp\u003e9.7 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Einstein Field Equations: The Full Story \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Einstein’s Weak Field Metric \u003c\/p\u003e \u003cp\u003e10.1.1 Refresher: Gravitational Potential \u003c\/p\u003e \u003cp\u003e10.1.2 Weak Field Geodesic Equation \u003c\/p\u003e \u003cp\u003e10.1.3 Weak Field Ricci Tensor \u003c\/p\u003e \u003cp\u003e10.2 Energy-Momentum, Curvature and the Vacuum \u003c\/p\u003e \u003cp\u003e10.3 Calculating the Value of Einstein’s Gravitational Constant\u003c\/p\u003e \u003cp\u003e10.4 The Poisson Equation (Optional Refresher) \u003c\/p\u003e \u003cp\u003e10.5 The EFEs in Full Form (Almost!) \u003c\/p\u003e \u003cp\u003e10.6 The Cosmological Constant \u003c\/p\u003e \u003cp\u003e10.7 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Module Summary and Conventions \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Module Summary \u003c\/p\u003e \u003cp\u003e11.2 The Field Equations in Full Form (Finally!) \u003c\/p\u003e \u003cp\u003e11.3 Why Does Energy-Momentum Distort Spacetime? \u003c\/p\u003e \u003cp\u003e11.4 Conventions (Optional) \u003c\/p\u003e \u003cp\u003e11.4.1 Conventions (1): Metric Signature \u003c\/p\u003e \u003cp\u003e11.4.2 Conventions (2): Definition of Curvature Tensors \u003c\/p\u003e \u003cp\u003e11.4.3 Conventions (3): Definition of Energy-Momentum Tensor \u003c\/p\u003e \u003cp\u003e11.5 Stationary Action Derivation of the EFEs \u003c\/p\u003e \u003cp\u003e11.6 Final Thoughts on This Module \u003c\/p\u003e \u003cp\u003e11.7 Module Memory Jogger \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II Vacuum Curvature\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 The Schwarzschild Metric: Derivation \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Metric Symmetries: A Diagonal Metric \u003c\/p\u003e \u003cp\u003e12.2 Ricci and Riemann Symmetries \u003c\/p\u003e \u003cp\u003e12.3 Simon’s Ricci Cheat Sheet \u003c\/p\u003e \u003cp\u003e12.4 Deriving the Schwarzschild Metric: Relating Time and Space \u003c\/p\u003e \u003cp\u003e12.5 Birkoff’s Theorem \u003c\/p\u003e \u003cp\u003e12.6 The Schwarzschild Metric \u003c\/p\u003e \u003cp\u003e12.7 Summary \u003c\/p\u003e \u003cp\u003e12.8 Why Do We Care? \u003c\/p\u003e \u003cp\u003e12.9 Schwarzschild with Cosmological Constant (Optional) \u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Schwarzschild and Black Holes \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Schwarzschild Revisited \u003c\/p\u003e \u003cp\u003e13.2 Black Holes: Overview \u003c\/p\u003e \u003cp\u003e13.3 Minky and Schwart \u003c\/p\u003e \u003cp\u003e13.4 Proper Acceleration \u003c\/p\u003e \u003cp\u003e13.5 White Dwarfs and Neutron Stars \u003c\/p\u003e \u003cp\u003e13.6 Falling into a Black Hole \u003c\/p\u003e \u003cp\u003e13.7 Time: For Minky the Clock Stops \u003c\/p\u003e \u003cp\u003e13.8 A Simple Illustrative Model \u003c\/p\u003e \u003cp\u003e13.9 Space: Schwarzschild Radial Coordinate \u003c\/p\u003e \u003cp\u003e13.10 Inside the Event Horizon\u003c\/p\u003e \u003cp\u003e13.11 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Orbits and Conserved Quantities \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Noether, Killing Vectors and Conservation Laws\u003c\/p\u003e \u003cp\u003e14.2 Conserved Quantities Along Geodesics\u003c\/p\u003e \u003cp\u003e14.3 Conserved Quantities of the Schwarzschild Metric \u003c\/p\u003e \u003cp\u003e14.4 Radial Plunge \u003c\/p\u003e \u003cp\u003e14.4.1 Plunge Time from Horizon to Singularity \u003c\/p\u003e \u003cp\u003e14.5 Angular Momentum and Rotational Energy \u003c\/p\u003e \u003cp\u003e14.6 A Few Words \u003c\/p\u003e \u003cp\u003e14.7 Orbits and Trajectories \u003c\/p\u003e \u003cp\u003e14.7.1 Newton’s Circular Orbits \u003c\/p\u003e \u003cp\u003e14.7.2 Schwarzschild’s Circular Orbits \u003c\/p\u003e \u003cp\u003e14.7.3 Innermost Stable Circular Orbit (ISCO) \u003c\/p\u003e \u003cp\u003e14.7.4 The Photon Sphere\u003c\/p\u003e \u003cp\u003e14.8 Quasars\u003c\/p\u003e \u003cp\u003e14.9 Summary\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Revisiting Einstein’s Success (Optional) \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 The Deflection of Light and Gravitational Lensing \u003c\/p\u003e \u003cp\u003e15.2 The Precession of Mercury \u003c\/p\u003e \u003cp\u003e15.2.1 Binet’s Equation \u003c\/p\u003e \u003cp\u003e15.2.2 Binet with the Schwarzschild Metric \u003c\/p\u003e \u003cp\u003e15.2.3 The Missing Precession \u003c\/p\u003e \u003cp\u003e15.3 The Aftermath \u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Schwarzschild: Other Coordinates \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction for Dummies \u003c\/p\u003e \u003cp\u003e16.2 Eddington-Finkelstein (EF) Coordinates \u003c\/p\u003e \u003cp\u003e16.3 Intuitive EF\u003c\/p\u003e \u003cp\u003e16.3.1 EF Maths Step 1 (Optional) \u003c\/p\u003e \u003cp\u003e16.3.2 EF Maths Step 2: Along Comes a Tortoise (Optional) \u003c\/p\u003e \u003cp\u003e16.4 Crossing the Black Hole Event Horizon \u003c\/p\u003e \u003cp\u003e16.5 White Holes \u003c\/p\u003e \u003cp\u003e16.6 Kruskal-Szekeres (KS) Coordinates \u003c\/p\u003e \u003cp\u003e16.6.1 KS Maths (Optional) \u003c\/p\u003e \u003cp\u003e16.7 The KS Big Picture Schwarzschild Diagram \u003c\/p\u003e \u003cp\u003e16.8 Penrose-Carter Diagrams \u003c\/p\u003e \u003cp\u003e16.9 Schwarzschild Metric: Final Thoughts \u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Kerr Metric: An Intuitive Introduction \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 The Kerr Metric Using BL Coordinates\u003c\/p\u003e \u003cp\u003e17.2 Why Angular Momentum Matters\u003c\/p\u003e \u003cp\u003e17.3 An Oblate Spheroid\u003c\/p\u003e \u003cp\u003e17.4 BL Radial Coordinate Mathematics (Optional)\u003c\/p\u003e \u003cp\u003e17.5 Minkowski Spacetime Using the BL Radial Coordinate\u003c\/p\u003e \u003cp\u003e17.6 The Other BL Coordinates\u003c\/p\u003e \u003cp\u003e17.7 Summary\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Kerr Black Holes \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 The Outer Event Horizon\u003c\/p\u003e \u003cp\u003e18.2 The Inner Event Horizon \u003c\/p\u003e \u003cp\u003e18.3 Underlying Riemann Curvature\u003c\/p\u003e \u003cp\u003e18.4 The Kerr Singularity (Ringularity)\u003c\/p\u003e \u003cp\u003e18.5 Frame-Dragging\u003c\/p\u003e \u003cp\u003e18.6 The Ergosphere \u003c\/p\u003e \u003cp\u003e18.7 Penrose, Blandford–Znajek and Quasars (Revisited)\u003c\/p\u003e \u003cp\u003e18.8 Extremal Black Holes and Cosmic Censorship \u003c\/p\u003e \u003cp\u003e18.9 Conserved Quantities and Contorted Orbits\u003c\/p\u003e \u003cp\u003e18.10 Maximal Extension of the Kerr Metric \u003c\/p\u003e \u003cp\u003e18.11 Summary\u003c\/p\u003e \u003cp\u003e18.12 Cosmic Censorship and the Kerr Metric (Optional)\u003c\/p\u003e \u003cp\u003e18.12.1 Effective Potential of the Kerr Metric (Equatorial)\u003c\/p\u003e \u003cp\u003e18.12.2 Characterising the MAMO \u003c\/p\u003e \u003cp\u003e18.12.3 Tracking the MAMO \u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Gravitational Waves \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Einstein’s Flip-Flop \u003c\/p\u003e \u003cp\u003e19.2 The Maths of GW Radiation \u003c\/p\u003e \u003cp\u003e19.2.1 Massless Graviton \u003c\/p\u003e \u003cp\u003e19.2.2 Transverse Wave \u003c\/p\u003e \u003cp\u003e19.2.3 Light Speed GW Radiation in the EFEs \u003c\/p\u003e \u003cp\u003e19.2.4 Two Distinct Polarisations \u003c\/p\u003e \u003cp\u003e19.3 Tell Me More About Gravitational Waves \u003c\/p\u003e \u003cp\u003e19.4 Chirp GW150914: A Case Study \u003c\/p\u003e \u003cp\u003e19.5 Chirp GW170817 \u003c\/p\u003e \u003cp\u003e19.6 Pulsar Timing Arrays \u003c\/p\u003e \u003cp\u003e19.7 A Note on Hawking Radiation\u003c\/p\u003e \u003cp\u003e19.7.1 Taking the Temperature of a Black Hole \u003c\/p\u003e \u003cp\u003e19.8 Summary\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Module Summary: Vacuum Curvature \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Schwarzschild Metric \u003c\/p\u003e \u003cp\u003e20.2 Kerr Metric \u003c\/p\u003e \u003cp\u003e20.3 Gravitational Waves and Hawking Radiation \u003c\/p\u003e \u003cp\u003e20.4 Module Memory Jogger \u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III Cosmology\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 The Friedmann–Robertson–Walker (FRW) Metric \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 The Cosmological Principle \u003c\/p\u003e \u003cp\u003e21.2 The Hubble Parameter \u003c\/p\u003e \u003cp\u003e21.3 The Expanding Universe: A Newtonian View \u003c\/p\u003e \u003cp\u003e21.4 General Relativity (GR) View: A Co-Moving Frame \u003c\/p\u003e \u003cp\u003e21.5 Introduction to 3-D Spatial Curvature \u003c\/p\u003e \u003cp\u003e21.6 Spatial Curvature in the FRW Metric (Optional) \u003c\/p\u003e \u003cp\u003e21.7 The FRW Metric \u003c\/p\u003e \u003cp\u003e21.8 Ricci Curvature and the Cosmological Principle \u003c\/p\u003e \u003cp\u003e21.9 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 The Friedmann Equations \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 FRW Metric: Ricci Calculation \u003c\/p\u003e \u003cp\u003e22.1.1 Calculation Step 1 \u003c\/p\u003e \u003cp\u003e22.1.2 Calculation Step 2 \u003c\/p\u003e \u003cp\u003e22.1.3 Ricci Tensor Components of FRW Metric \u003c\/p\u003e \u003cp\u003e22.2 Deriving the Friedmann Equations \u003c\/p\u003e \u003cp\u003e22.3 The Cosmic Rest Frame \u003c\/p\u003e \u003cp\u003e22.4 Energy-Density and Expansion \u003c\/p\u003e \u003cp\u003e22.4.1 An Intuitive Introduction \u003c\/p\u003e \u003cp\u003e22.4.2 A Bit More Rigour (Optional) \u003c\/p\u003e \u003cp\u003e22.5 Dominant Relationships \u003c\/p\u003e \u003cp\u003e22.6 The Accelerating Effect of Vacuum Energy \u003c\/p\u003e \u003cp\u003e22.7 Critical Energy-Density \u003c\/p\u003e \u003cp\u003e22.8 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Welcome to the Dark Side \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Spatial Curvature: Feeling Flat \u003c\/p\u003e \u003cp\u003e23.2 Dark Matter \u003c\/p\u003e \u003cp\u003e23.3 Modelling the Universe\u003c\/p\u003e \u003cp\u003e23.4 Radiation’s Trivial Contribution \u003c\/p\u003e \u003cp\u003e23.5 The Cosmic Age Problem: Globular Clusters \u003c\/p\u003e \u003cp\u003e23.6 The Accelerating Universe \u003c\/p\u003e \u003cp\u003e23.6.1 Type 1a Supernovae \u003c\/p\u003e \u003cp\u003e23.6.2 Evidence of Acceleration \u003c\/p\u003e \u003cp\u003e23.7 Summary: The Energy Mix of the Universe \u003c\/p\u003e \u003cp\u003e23.8 What is Dark (Vacuum) Energy? \u003c\/p\u003e \u003cp\u003e\u003cb\u003e24 After the Big Bang \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24.1 Dating the Early Universe \u003c\/p\u003e \u003cp\u003e24.2 Baryogenesis (Protons and Neutrons Form) \u003c\/p\u003e \u003cp\u003e24.3 Nuclear Fusion (Light Atomic Nuclei Form) \u003c\/p\u003e \u003cp\u003e24.4 Cosmic Microwave Background (CMB) \u003c\/p\u003e \u003cp\u003e24.5 A Star is Born \u003c\/p\u003e \u003cp\u003e24.6 Our Place in the Cosmic Web \u003c\/p\u003e \u003cp\u003e24.7 Horizons and the Fate of the Universe \u003c\/p\u003e \u003cp\u003e24.8 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e25 Inflation \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25.1 Arguments for Inflation\u003c\/p\u003e \u003cp\u003e25.1.1 The Flatness Problem\u003c\/p\u003e \u003cp\u003e25.1.2 Where are the Magnetic Monopoles? \u003c\/p\u003e \u003cp\u003e25.1.3 The Horizon\/Homogeneity Problem \u003c\/p\u003e \u003cp\u003e25.2 Introduction to Inflation \u003c\/p\u003e \u003cp\u003e25.3 The Inflaton Field\u003c\/p\u003e \u003cp\u003e25.4 How Much Inflation Had to Occur?\u003c\/p\u003e \u003cp\u003e25.5 The Maths Behind the Inflaton Field (Optional) \u003c\/p\u003e \u003cp\u003e25.6 Quantum Field Fluctuations \u003c\/p\u003e \u003cp\u003e25.7 Evidence for Inflation in the CMB\u003c\/p\u003e \u003cp\u003e25.8 The Inflationary Multiverse \u003c\/p\u003e \u003cp\u003e25.9 Summary \u003c\/p\u003e \u003cp\u003e\u003cb\u003e26 Interpreting the CMB (Optional) \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e26.1 Underlying Causes of CMB Temperature Variation \u003c\/p\u003e \u003cp\u003e26.2 The CMB Power Spectrum \u003c\/p\u003e \u003cp\u003e26.3 Super-Horizon Anisotropy \u003c\/p\u003e \u003cp\u003e26.4 Effect of Baryon Acoustic Oscillations (BAO) \u003c\/p\u003e \u003cp\u003e26.5 Peak-1 and Measuring Flatness \u003c\/p\u003e \u003cp\u003e26.6 Comparing Peaks: Another Measure of Baryon Density\u003c\/p\u003e \u003cp\u003e27 Module Summary: Cosmology \u003c\/p\u003e \u003cp\u003e27.1 Theory \u003c\/p\u003e \u003cp\u003e27.2 Observation \u003c\/p\u003e \u003cp\u003e27.2.1 Flatness \u003c\/p\u003e \u003cp\u003e27.2.2 Dark Matter \u003c\/p\u003e \u003cp\u003e27.2.3 Dark (Vacuum) Energy \u003c\/p\u003e \u003cp\u003e27.3 From the Big Bang to Today \u003c\/p\u003e \u003cp\u003e27.4 Some Bits That Might Not Fit \u003c\/p\u003e \u003cp\u003e27.5 Inflation \u003c\/p\u003e \u003cp\u003e27.5.1 The Rationale for Inflation \u003c\/p\u003e \u003cp\u003e27.5.2 The Mechanism of Inflation \u003c\/p\u003e \u003cp\u003e27.5.3 Evidence for Inflation from the CMB \u003c\/p\u003e \u003cp\u003e27.6 Cosmology: Watch the News \u003c\/p\u003e \u003cp\u003e27.7 Module Memory Jogger \u003c\/p\u003e \u003cp\u003e\u003cb\u003e28 The Big Challenge \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e28.1 General Relativity Versus Quantum Mechanics \u003c\/p\u003e \u003cp\u003e28.2 The Challenge \u003c\/p\u003e \u003cp\u003e28.3 String Theory \u003c\/p\u003e \u003cp\u003e28.3.1 Gravity in String Theory \u003c\/p\u003e \u003cp\u003e28.3.2 Difficulties with String Theory \u003c\/p\u003e \u003cp\u003e28.4 Loop Quantum Gravity (LQG) \u003c\/p\u003e \u003cp\u003e28.4.1 LQG Space as a Quantum Entity \u003c\/p\u003e \u003cp\u003e28.4.2 Difficulties with LQG \u003c\/p\u003e \u003cp\u003e28.5 Spacetime is Doomed \u003c\/p\u003e \u003cp\u003e28.6 Entropic Gravity \u003c\/p\u003e \u003cp\u003e28.7 Postquantum Gravity \u003c\/p\u003e \u003cp\u003e28.8 Toodle-Pip! \u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex \u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eSimon Sherwood\u003c\/b\u003e is the author of \u003ci\u003eQuantum Untangling\u003c\/i\u003e (Wiley, 2024). Previously he was Chairman of Elegant Hotels PLC and the CEO of Orient-Express Hotels. He holds an MBA from Harvard Business School and is also a former strategy consultant with the Boston Consulting Group.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990438265061,"sku":"NP9781394355853","price":44.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781394355853.jpg?v=1761787829","url":"https:\/\/k12savings.com\/products\/untangling-general-relativity-isbn-9781394355853","provider":"K12savings","version":"1.0","type":"link"}