{"product_id":"introducing-general-relativity-isbn-9781118600719","title":"Introducing General Relativity","description":"\u003cb\u003eIntroducing General Relativity\u003c\/b\u003e \u003cp\u003e\u003cb\u003eAn accessible and engaging introduction to general relativity for undergraduates\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eIn \u003ci\u003eIntroducing General Relativity\u003c\/i\u003e, the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. \u003c\/p\u003e\u003cp\u003eEach chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. \u003c\/p\u003e\u003cp\u003e\u003ci\u003eIntroducing General Relativity\u003c\/i\u003e also offers: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eStructured outlines to the concepts of General Relativity and a wide variety of its applications\u003c\/li\u003e \u003cli\u003eComprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus\u003c\/li\u003e \u003cli\u003ePractical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves\u003c\/li\u003e \u003cli\u003eOptional, in-depth sections covering the mathematical approaches to more advanced ideas\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003ePerfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, \u003ci\u003eIntroducing General Relativity\u003c\/i\u003e is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks. \u003c\/p\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eConstants and Symbols x\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introducing General Relativity 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 A Special Relativity Reminder 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 The need for Special Relativity 4\u003c\/p\u003e \u003cp\u003e2.2 The Lorentz transformation 6\u003c\/p\u003e \u003cp\u003e2.3 Time dilation 8\u003c\/p\u003e \u003cp\u003e2.4 Lorentz–Fitzgerald contraction 9\u003c\/p\u003e \u003cp\u003e2.5 Addition of velocities 11\u003c\/p\u003e \u003cp\u003e2.6 Simultaneity, colocality, and causality 12\u003c\/p\u003e \u003cp\u003e2.7 Space–time diagrams 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Tensors in Special Relativity 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Coordinates 18\u003c\/p\u003e \u003cp\u003e3.2 4-vectors 20\u003c\/p\u003e \u003cp\u003e3.3 4-velocity, 4-momentum, and 4-acceleration 24\u003c\/p\u003e \u003cp\u003e3.4 4-divergence and the wave operator 26\u003c\/p\u003e \u003cp\u003e3.5 Tensors 28\u003c\/p\u003e \u003cp\u003e3.6 Tensors in action: the Lorentz force 30\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Towards General Relativity 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Newtonian gravity 37\u003c\/p\u003e \u003cp\u003e4.2 Special Relativity and gravity 39\u003c\/p\u003e \u003cp\u003e4.3 Motivations for a General Theory of Relativity 41\u003c\/p\u003e \u003cp\u003e4.3.1 Mach’s Principle 42\u003c\/p\u003e \u003cp\u003e4.3.2 Einstein’s Equivalence Principle 42\u003c\/p\u003e \u003cp\u003e4.4 Implications of the Equivalence Principle 44\u003c\/p\u003e \u003cp\u003e4.4.1 Gravitational redshift 45\u003c\/p\u003e \u003cp\u003e4.4.2 Gravitational time dilation 46\u003c\/p\u003e \u003cp\u003e4.5 Principles of the General Theory of Relativity 47\u003c\/p\u003e \u003cp\u003e4.6 Towards curved space–time 49\u003c\/p\u003e \u003cp\u003e4.7 Curved space in two dimensions 50\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Tensors and Curved Space–Time 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 General coordinate transformations 57\u003c\/p\u003e \u003cp\u003e5.2 Tensor equations and the laws of physics 59\u003c\/p\u003e \u003cp\u003e5.3 Partial differentiation of tensors 59\u003c\/p\u003e \u003cp\u003e5.4 The covariant derivative and parallel transport 60\u003c\/p\u003e \u003cp\u003e5.5 Christoffel symbols of a two-sphere 65\u003c\/p\u003e \u003cp\u003e5.6 Parallel transport on a two-sphere 66\u003c\/p\u003e \u003cp\u003e5.7 Curvature and the Riemann tensor 68\u003c\/p\u003e \u003cp\u003e5.8 Riemann curvature of the two-sphere 71\u003c\/p\u003e \u003cp\u003e5.9 More tensors describing curvature 72\u003c\/p\u003e \u003cp\u003e5.10 Local inertial frames and local flatness 73\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Describing Matter 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 The Correspondence Principle 79\u003c\/p\u003e \u003cp\u003e6.2 The energy–momentum tensor 80\u003c\/p\u003e \u003cp\u003e6.2.1 General properties 80\u003c\/p\u003e \u003cp\u003e6.2.2 Conservation laws and 4-vector flux 81\u003c\/p\u003e \u003cp\u003e6.2.3 Energy and momentum belong in a rank-2 tensor 83\u003c\/p\u003e \u003cp\u003e6.2.4 Symmetry of the energy–momentum tensor 84\u003c\/p\u003e \u003cp\u003e6.2.5 Energy–momentum of perfect fluids 84\u003c\/p\u003e \u003cp\u003e6.2.6 The energy–momentum tensor in curved space–time 87\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 The Einstein Equation 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The form of the Einstein equation 91\u003c\/p\u003e \u003cp\u003e7.2 Properties of the Einstein equation 93\u003c\/p\u003e \u003cp\u003e7.3 The Newtonian limit 93\u003c\/p\u003e \u003cp\u003e7.4 The cosmological constant 95\u003c\/p\u003e \u003cp\u003e7.5 The vacuum Einstein equation 96\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 The Schwarzschild Space–time 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Christoffel symbols 100\u003c\/p\u003e \u003cp\u003e8.2 Riemann tensor 101\u003c\/p\u003e \u003cp\u003e8.3 Ricci tensor 102\u003c\/p\u003e \u003cp\u003e8.4 The Schwarzschild solution 103\u003c\/p\u003e \u003cp\u003e8.5 The Jebsen–Birkhoff theorem 104\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Geodesics and Orbits 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Geodesics 109\u003c\/p\u003e \u003cp\u003e9.2 Non-relativistic limit of geodesic motion 112\u003c\/p\u003e \u003cp\u003e9.3 Geodesic deviation 113\u003c\/p\u003e \u003cp\u003e9.4 Newtonian theory of orbits 115\u003c\/p\u003e \u003cp\u003e9.5 Orbits in the Schwarzschild space–time 117\u003c\/p\u003e \u003cp\u003e9.5.1 Massive particles 117\u003c\/p\u003e \u003cp\u003e9.5.2 Photon orbits 120\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Tests of General Relativity 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Precession of Mercury’s perihelion 123\u003c\/p\u003e \u003cp\u003e10.2 Gravitational light bending 125\u003c\/p\u003e \u003cp\u003e10.3 Radar echo delays 127\u003c\/p\u003e \u003cp\u003e10.4 Gravitational redshift 129\u003c\/p\u003e \u003cp\u003e10.5 Binary pulsar PSR 1913+16 131\u003c\/p\u003e \u003cp\u003e10.6 Direct detection of gravitational waves 135\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Black Holes 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 The Schwarzschild radius 139\u003c\/p\u003e \u003cp\u003e11.2 Singularities 140\u003c\/p\u003e \u003cp\u003e11.3 Radial rays in the Schwarzschild space–time 141\u003c\/p\u003e \u003cp\u003e11.4 Schwarzschild coordinate systems 143\u003c\/p\u003e \u003cp\u003e11.5 The black hole space–time 145\u003c\/p\u003e \u003cp\u003e11.6 Special orbits around black holes 147\u003c\/p\u003e \u003cp\u003e11.7 Black holes in physics and in astrophysics 148\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Cosmology 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Constant-curvature spaces 156\u003c\/p\u003e \u003cp\u003e12.2 The metric of the Universe 158\u003c\/p\u003e \u003cp\u003e12.3 The matter content of the Universe 158\u003c\/p\u003e \u003cp\u003e12.4 The Einstein equations 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Cosmological Models 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Simple solutions: matter and radiation 165\u003c\/p\u003e \u003cp\u003e13.2 Light travel, distances, and horizons 169\u003c\/p\u003e \u003cp\u003e13.2.1 Light travel in the cosmological metric 169\u003c\/p\u003e \u003cp\u003e13.2.2 Cosmological redshift 170\u003c\/p\u003e \u003cp\u003e13.2.3 The expansion rate 171\u003c\/p\u003e \u003cp\u003e13.2.4 The age of the Universe 172\u003c\/p\u003e \u003cp\u003e13.2.5 The distance–redshift relation and Hubble’s law 172\u003c\/p\u003e \u003cp\u003e13.2.6 Cosmic horizons 173\u003c\/p\u003e \u003cp\u003e13.2.7 The luminosity and angular-diameter distances 174\u003c\/p\u003e \u003cp\u003e13.3 Ingredients for a realistic cosmological model 175\u003c\/p\u003e \u003cp\u003e13.4 Accelerating cosmologies 180\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 General Relativity: The Next 100 Years 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Developing General Relativity 183\u003c\/p\u003e \u003cp\u003e14.2 Beyond General Relativity 184\u003c\/p\u003e \u003cp\u003e14.3 Into the future 187\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAdvanced Topic A1 Geodesics in the Schwarzschild Space–Time 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA1.1 Geodesics and conservation laws 191\u003c\/p\u003e \u003cp\u003eA1.2 Schwarzschild geodesics for massive particles 192\u003c\/p\u003e \u003cp\u003eA1.3 Schwarzschild geodesics for massless particles 194\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAdvanced Topic A2 The Solar System Tests in Detail 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA2.1 Newtonian orbits in detail 197\u003c\/p\u003e \u003cp\u003eA2.2 Perihelion shift in General Relativity 201\u003c\/p\u003e \u003cp\u003eA2.3 Light deflection 204\u003c\/p\u003e \u003cp\u003eA2.4 Time delay 205\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAdvanced Topic A3 Weak Gravitational Fields and Gravitational Waves 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA3.1 Nearly-flat space–times 209\u003c\/p\u003e \u003cp\u003eA3.2 Gravitational waves 211\u003c\/p\u003e \u003cp\u003eA3.3 Sources of gravitational waves 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAdvanced Topic A4 Gravitational Wave Sources and Detection 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA4.1 Gravitational waves from compact binaries 220\u003c\/p\u003e \u003cp\u003eA4.2 The energy in gravitational waves 223\u003c\/p\u003e \u003cp\u003eA4.3 Binary inspiral 224\u003c\/p\u003e \u003cp\u003eA4.4 Detecting gravitational waves 227\u003c\/p\u003e \u003cp\u003eA4.4.1 Laser interferometers 227\u003c\/p\u003e \u003cp\u003eA4.4.2 Pulsar timing 230\u003c\/p\u003e \u003cp\u003eA4.4.3 Interferometers in space 231\u003c\/p\u003e \u003cp\u003eBibliography 233\u003c\/p\u003e \u003cp\u003eAnswers to Selected Problems 237\u003c\/p\u003e \u003cp\u003eIndex 263\u003c\/p\u003e \u003cp\u003e\u003cb\u003eMark Hindmarsh\u003c\/b\u003e is Professor of Theoretical Physics with joint appointments at the University of Sussex, UK and the University of Helsinki, Finland. His research is focused on the physics of the Big Bang, and he is a member of the LISA consortium with particular expertise in the cosmological production of gravitational waves. He has taught at all levels of the undergraduate and postgraduate curriculum.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAndrew Liddle \u003c\/b\u003eis a Principal Researcher at the University of Lisbon in Portugal, with joint affiliations at the University of Edinburgh, UK, and the Perimeter Institute for Theoretical Physics, Waterloo, Canada. He researches the properties of our Universe and how these relate to fundamental physical laws, especially through understanding astronomical observations. He is involved in several international projects, including the Planck Satellite and the Dark Energy Survey.  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eAn accessible and engaging introduction to general relativity for undergraduates\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIn \u003ci\u003eIntroducing General Relativity,\u003c\/i\u003e the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. \u003c\/p\u003e\u003cp\u003eEach chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. \u003c\/p\u003e\u003cp\u003e\u003ci\u003eIntroducing General Relativity \u003c\/i\u003ealso offers: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eStructured outlines to the concepts of General Relativity and a wide variety of its applications\u003c\/li\u003e \u003cli\u003eComprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus\u003c\/li\u003e \u003cli\u003ePractical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves\u003c\/li\u003e \u003cli\u003eOptional, in-depth sections covering the mathematical approaches to more advanced ideas\u003c\/li\u003e\n\u003c\/ul\u003e \u003cp\u003ePerfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, \u003ci\u003eIntroducing General Relativity\u003c\/i\u003e is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989454110949,"sku":"NP9781118600719","price":45.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118600719.jpg?v=1761784163","url":"https:\/\/k12savings.com\/products\/introducing-general-relativity-isbn-9781118600719","provider":"K12savings","version":"1.0","type":"link"}