LEADER 05542nam 22007453u 450 001 9910827964303321 005 20230807215758.0 010 $a0-19-106084-4 035 $a(CKB)3710000000420274 035 $a(EBL)2048513 035 $a(OCoLC)911246432 035 $a(SSID)ssj0001535833 035 $a(PQKBManifestationID)11892262 035 $a(PQKBTitleCode)TC0001535833 035 $a(PQKBWorkID)11502812 035 $a(PQKB)11229147 035 $a(MiAaPQ)EBC2048513 035 $a(EXLCZ)993710000000420274 100 $a20151123d2015|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA College Course on Relativity and Cosmology 210 $aOxford $cOUP Oxford$d2015 215 $a1 online resource (724 p.) 300 $aDescription based upon print version of record. 311 $a0-19-102832-0 311 $a0-19-969341-2 327 $aCover; Preface; Contents; 1 Introduction; 1.1 Relativity as a coordinate symmetry; 1.1.1 Coordinate transformations; 1.1.2 The principle of relativity; 1.2 Einstein and relativity; 1.2.1 The new kinematics; 1.2.2 GR as a field theory of gravitation; Review questions; 2 Special Relativity: The New Kinematics; 2.1 Einstein's two postulates and Lorentz transformation; 2.1.1 Relativity of simultaneity and the new conception of time; 2.1.2 Coordinate-dependent time leads to Lorentz transformation; 2.2 Physics implications of Lorentz transformation; 2.2.1 Time dilation and length contraction 327 $a2.2.2 The invariant interval and proper time2.3 Two counterintuitive scenarios as paradoxes; Review questions; 3 Special Relativity: Flat Spacetime; 3.1 Geometric formulation of relativity; 3.2 Tensors in special relativity; 3.2.1 Generalized coordinates: bases and the metric; 3.2.2 Velocity and momentum 4-vectors; 3.2.3 Electromagnetic field 4-tensor; 3.2.4 The energy-momentum-stress 4-tensor for a field system; 3.3 The spacetime diagram; 3.3.1 Invariant regions and causal structure; 3.3.2 Lorentz transformation in the spacetime diagram; Review questions 327 $a4 Equivalence of Gravitation and Inertia4.1 Seeking a relativistic theory of gravitation; 4.1.1 Newtonian potential: a summary; 4.1.2 Einstein's motivation for general relativity; 4.2 The equivalence principle: from Galileo to Einstein; 4.2.1 Inertial mass vs. gravitational mass; 4.2.2 Einstein: ''my happiest thought''; 4.3 EP leads to gravitational time dilation and light deflection; 4.3.1 Gravitational redshift and time dilation; 4.3.2 Relativity and the operation of GPS; 4.3.3 The EP calculation of light deflection; 4.3.4 Energetics of light transmission in a gravitational field 327 $aReview questions5 General Relativity as a Geometric Theory of Gravity; 5.1 Metric description of a curved manifold; 5.1.1 Gaussian coordinates and the metric tensor; 5.1.2 The geodesic equation; 5.1.3 Local Euclidean frames and the flatness theorem; 5.2 From the equivalence principle to a metric theory of gravity; 5.2.1 Curved spacetime as gravitational field; 5.2.2 GR as a field theory of gravitation; 5.3 Geodesic equation as the GR equation of motion; 5.3.1 The Newtonian limit; Review questions; 6 Einstein Equation and its Spherical Solution; 6.1 Curvature: a short introduction 327 $a6.2 Tidal gravity and spacetime curvature6.2.1 Tidal forces-a qualitative discussion; 6.2.2 Deviation equations and tidal gravity; 6.3 The GR field equation; 6.3.1 Einstein curvature tensor; 6.3.2 Einstein field equation; 6.3.3 Gravitational waves; 6.4 Geodesics in Schwarzschild spacetime; 6.4.1 The geometry of a spherically symmetric spacetime; 6.4.2 Curved spacetime and deflection of light; 6.4.3 Precession of Mercury's orbit; Review questions; 7 Black Holes; 7.1 Schwarzschild black holes; 7.1.1 Time measurements around a black hole; 7.1.2 Causal structure of the Schwarzschild surface 327 $a7.1.3 Binding energy to a black hole can be extremely large 330 $aThis advanced undergraduate text introduces Einstein's general theory of relativity. The topics covered include geometric formulation of special relativity, the principle of equivalence, Einstein's field equation and its spherical-symmetric solution, as well as cosmology. An emphasis is placed on physical examples and simple applications without the full tensor apparatus. It begins by examining the physics of the equivalence principle and looks at how it inspiredEinstein's idea of curved spacetime as the gravitational field. At a more mathematically accessible level, it provides a metric descr 606 $aRelativity (Physics)$vTextbooks 606 $aSpace and time 606 $aGravity 606 $aBlack holes (Astronomy) 606 $aCosmology 606 $aPhysics$2HILCC 606 $aPhysical Sciences & Mathematics$2HILCC 606 $aPhysics - General$2HILCC 606 $aAtomic Physics$2HILCC 615 0$aRelativity (Physics) 615 0$aSpace and time 615 0$aGravity 615 0$aBlack holes (Astronomy) 615 0$aCosmology 615 7$aPhysics 615 7$aPhysical Sciences & Mathematics 615 7$aPhysics - General 615 7$aAtomic Physics 676 $a530.11 676 $a530.11 700 $aCheng$b Ta-Pei$053500 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910827964303321 996 $aA College Course on Relativity and Cosmology$94038108 997 $aUNINA