Einstein Gravity in a Nutshell

"Zee writes in an informal, conversational style, displaying his extensive experience and close contacts with many undergraduate and graduate students." Informationen zum Autor A. Zee is professor of physics at the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara. His books include Quantum Field Theory in a Nutshell and Fearful Symmetry: The Search for Beauty in Modern Physics (both Princeton). Klappentext An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativityGuides readers from Newtonian mechanics to the frontiers of modern researchEmphasizes symmetry and the Einstein-Hilbert actionCovers topics not found in standard textbooks on Einstein gravityIncludes interesting historical asidesFeatures numerous exercises and detailed appendicesIdeal for students, physicists, and scientifically minded lay readersSolutions manual (available only to teachers) Zusammenfassung This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de S...

Autorentext

A. Zee is professor of physics at the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara. His books include Quantum Field Theory in a Nutshell and Fearful Symmetry: The Search for Beauty in Modern Physics (both Princeton).

Klappentext

An ideal introduction to Einstein's general theory of relativity

This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere.

• Provides an accessible introduction to Einstein's general theory of relativity
• Guides readers from Newtonian mechanics to the frontiers of modern research
• Emphasizes symmetry and the Einstein-Hilbert action
• Covers topics not found in standard textbooks on Einstein gravity
• Includes interesting historical asides
• Features numerous exercises and detailed appendices
• Ideal for students, physicists, and scientifically minded lay readers
• Solutions manual (available only to teachers)

Zusammenfassung
This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de S

Inhalt

Part 0: Setting the Stage Prologue: Three Stories 3 Introduction: A Natural System of Units, the Cube of Physics, Being Overweight, & Hawking Radiation 10 Prelude: Relativity Is an Everyday and Ancient Concept 17 ONE Book One: From Newton to the Gravitational Redshift I Part I: From Newton to Riemann: Coordinates to Curvature I.1 Newton's Laws 25 I.2 Conservation Is Good 35 I.3 Rotation: Invariance and Infinitesimal Transformation 38 I.4 Who Is Afraid of Tensors? 52 I.5 From Change of Coordinates to Curved Spaces 62 I.6 Curved Spaces: Gauss and Riemann 82 I.7 Differential Geometry Made Easy, but Not Any Easier! 96 Recap to Part I 110 II Part II: Action, Symmetry, and Conservation II.1 The Hanging String and Variational Calculus 113 II.2 The Shortest Distance between Two Points 123 II.3 Physics Is Where the Action Is 136 II.4 Symmetry and Conservation 150 Recap to Part II 155 III Part III: Space and Time Unified III.1 Galileo versus Maxwell 159 III.2 Einstein's Clock and Lorentz's Transformation 166 III.3 Minkowski and the Geometry of Spacetime 174 III.4 Special Relativity Applied 195 III.5 The Worldline Action and the Unification of Material Particles with Light 207 III.6 Completion, Promotion, and the Nature of the Gravitational Field 218 Recap to Part III 238 IV Part IV: Electromagnetism and Gravity IV.1 You Discover Electromagnetism and Gravity! 241 IV.2 Electromagnetism Goes Live 248 IV.3 Gravity Emerges! 257 Recap to Part IV 261 TWO Book Two: From the Happiest Thought to the Universe Prologue to Book Two: The Happiest Thought 265 V Part V: Equivalence Principle and Curved Spacetime V.1 Spacetime Becomes Curved 275 V.2 The Power of the Equivalence Principle 280 V.3 The Universe as a Curved Spacetime 288 V.4 Motion in Curved Spacetime 301 V.5 Tensors in General Relativity 312 V.6 Covariant Differentiation 320 Recap to Part V 334 VI Part VI: Einstein's Field Equation Derived and Put to Work VI.1 To Einstein's Field Equation as Quickly as Possible 337 VI.2 To 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 VI…