Zee, A: Einstein Gravity in a Nutshell

Cosmology as Quickly as Possible 355 VI.3 The Schwarzschild-Droste Metric and Solar System Tests of Einstein Gravity 362 VI.4 Energy Momentum Distribution Tells Spacetime How to Curve 378 VI.5 Gravity Goes Live 388 VI.6 Initial Value Problems and Numerical Relativity 400 Recap to Part VI 406 VII Part VII: Black Holes VII.1 Particles and Light around a Black Hole 409 VII.2 Black Holes and the Causal Structure of Spacetime 419 VII.3 Hawking Radiation 436 VII.4 Relativistic Stellar Interiors 451 VII.5 Rotating Black Holes 458 VII.6 Charged Black Holes 477 Recap to Part VII 485 VIII Part VIII: Introduction to Our Universe VIII.1 The Dynamic Universe 489 VIII.2 Cosmic Struggle between Dark Matter and Dark Energy 502 VIII.3 The Gamow Principle and a Concise History of the Early Universe 515 VIII.4 Inflationary Cosmology 530 Recap to Part VIII 537 THREE Book Three: Gravity at Work and at Play IX Part IX: Aspects of Gravity IX.1 Parallel Transport 543 IX.2 Precession of Gyroscopes 549 IX.3 Geodesic Deviation 552 IX.4 Linearized Gravity, Gravitational Waves, and the Angular Momentum of Rotating Bodies 563 IX.5 A Road Less Traveled 578 IX.6 Isometry, Killing Vector Fields, and Maximally Symmetric Spaces 585 IX.7 Differential Forms and Vielbein 594 IX.8 Differential Forms Applied 607 IX.9 Conformal Algebra 614 IX.10 De Sitter Spacetime 624 IX.11 Anti de Sitter Spacetime 649 Recap to Part IX 668 X Part X: Gravity Past, Present, and Future X.1 Kaluza, Klein, and the Flowering of Higher Dimensions 671 X.2 Brane Worlds and Large Extra Dimensions 696 X.3 Effective Field Theory Approach to Einstein Gravity 708 X.4 Finite Sized Objects and Tidal Forces in Einstein Gravity 714 X.5 Topological Field Theory 719 X.6 A Brief Introduction to Twistors 729 X.7 The Cosmological Constant Paradox 745 X.8 Heuristic Thoughts about Quantum Gravity 760 Recap to Part X 775 Closing Words 777 Timeline of Some of the People Mentioned 791 Solutions to Selected Exercises 793 Bibliography 819 Index 821 Collection of Formulas and Conventions 859