Einstein Gravity in a Nutshell

Name: Einstein Gravity in a Nutshell
Author: Anthony Zee
ISBN: 9780691145587

by Anthony Zee

item #14 in the In a Nutshell Series

Hardcover

Einstein Gravity in a Nutshell

by Anthony Zee

item #14 in the In a Nutshell Series

Hardcover

Overview

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)

FormatHardcover

LanguageEnglish

PublisherPrinceton University Press

Publication DateMay. 5th, 2013

Pages544

ISBN-139780691145587

Dimensions7.40 x 10.28 x 2.17 inches

ISBN-10069114558X

Shipping Weight4.24 lbs

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Professional Reviews

" Einstein Gravity in a Nutshell is a remarkably complete and thorough textbook on general relativity, written in a refreshing and engaging style. Zee leads us through all the major intellectual steps that make what is surely one of the most profound and beautiful theories of all time. The book is enjoyable and informative in equal measure. Quite an achievement."
-- Pedro Ferreira, University of Oxford

Preface	p. xi
Setting the Stage
Prologue: Three Stories	p. 3
Introduction: A Natural System of Units, the Cube of Physics, Being Overweight, and Hawking Radiation	p. 10
Prelude: Relativity Is an Everyday and Ancient Concept	p. 17
From Newton to the Gravitational Redshift
From Newton to Riemann: Coordinates to Curvature
Newton's Laws	p. 25
Conservation Is Good	p. 35
Rotation: Invariance and Infinitesimal Transformation	p. 38
Who Is Afraid of Tensors?	p. 52
From Change of Coordinates to Curved Spaces	p. 62
Curved Spaces: Gauss and Riemann	p. 82
Differential Geometry Made Easy, but Not Any Easier!	p. 96
Recap to Part I	p. 110
Action, Symmetry, and Conservation
The Hanging String and Variational Calculus	p. 113
The Shortest Distance between Two Points	p. 123
Physics Is Where the Action Is	p. 136
Symmetry and Conservation	p. 150
Recap to Part II	p. 155
Space and Time Unified
Galileo versus Maxwell	p. 159
Einstein's Clock and Lorentz's Transformation	p. 166
Minkowski and the Geometry of Spacetime	p. 174
Special Relativity Applied	p. 195
The Worldline Action and the Unification of Material Particles with Light	p. 207
Completion, Promotion, and the Nature of the Gravitational Field	p. 218
Recap to Part III	p. 238
Electromagnetism and Gravity
You Discover Electromagnetism and Gravity!	p. 241
Electromagnetism Goes Live	p. 248
Gravity Emerges!	p. 257
Recap to Part IV	p. 261
From the Happiest Thought to the Universe
Prologue to Book Two: The Happiest Thought	p. 265
Equivalence Principle and Curved Spacetime
Spacetime Becomes Curved	p. 275
The Power of the Equivalence Principle	p. 280
The Universe as a Curved Spacetime	p. 288
Motion in Curved Spacetime	p. 301
Tensors in General Relativity	p. 312
Covariant Differentiation	p. 320
Recap to Part V	p. 334
Einstein's Field Equation Derived and Put to Work
To Einstein's Field Equation as Quickly as Possible	p. 337
To Cosmology as Quickly as Possible	p. 355
The Schwarzschild-Droste Metric and Solar System Tests of Einstein Gravity	p. 362
Energy Momentum Distribution Tells Spacetime How to Curve	p. 378
Gravity Goes Live	p. 388
Initial Value Problems and Numerical Relativity	p. 400
Recap to Part VI	p. 406
Black Holes
Particles and Light around a Black Hole	p. 409
Black Holes and the Causal Structure of Spacetime	p. 419
Hawking Radiation	p. 436
Relativistic Stellar Interiors	p. 451
Rotating Black Holes	p. 458
Charged Black Holes	p. 477
Recap to Part VII	p. 485
Introduction to Our Universe
The Dynamic Universe	p. 489
Cosmic Struggle between Dark Matter and Dark Energy	p. 502
The Gamow Principle and a Concise History of the Early Universe	p. 515
Inflationary Cosmology	p. 530
Recap to Part VIII	p. 537
Gravity at Work and at Play
Aspects of Gravity
Parallel Transport	p. 543
Precession of Gyroscopes	p. 549
Geodesic Deviation	p. 552
Linearized Gravity, Gravitational Waves, and the Angular Momentum of Rotating Bodies	p. 563
A Road Less Traveled	p. 578
Isometry, Killing Vector Fields, and Maximally Symmetric Spaces	p. 585
Differential Forms and Vielbein	p. 594
Differential Forms Applied	p. 607
Conformal Algebra	p. 614
De Sitter Spacetime	p. 624
Ann de Sitter Spacetime	p. 649
Recap to Part IX	p. 668
Gravity Past, Present, and Future
Kafuza, Klein, and the Flowering of Higher Dimensions	p. 671
Brane Worlds and Large Extra Dimensions	p. 696
Effective Field Theory Approach to Einstein Gravity	p. 708
Finite Sized Objects and Tidal Forces in Einstein Gravity	p. 714
Topological Field Theory	p. 719
A Brief Introduction to Twistors	p. 729
The Cosmological Constant Paradox	p. 745
Heuristic Thoughts about Quantum Gravity	p. 760
Recap to Part X	p. 775
Closing Words	p. 777
Timeline of Some of the People Mentioned	p. 791
Solutions to Selected Exercises	p. 793
Bibliography	p. 819
Index	p. 821
Collection of Formulas and Conventions	p. 859
Table of Contents provided by Ingram. All Rights Reserved.

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Overview

Product Details

FormatHardcover

LanguageEnglish

PublisherPrinceton University Press

Publication DateMay. 5th, 2013

Pages544

ISBN-139780691145587

Dimensions7.40 x 10.28 x 2.17 inches

ISBN-10069114558X

Shipping Weight4.24 lbs

Professional Reviews

Preface	p. xi
Setting the Stage
Prologue: Three Stories	p. 3
Introduction: A Natural System of Units, the Cube of Physics, Being Overweight, and Hawking Radiation	p. 10
Prelude: Relativity Is an Everyday and Ancient Concept	p. 17
From Newton to the Gravitational Redshift
From Newton to Riemann: Coordinates to Curvature
Newton's Laws	p. 25
Conservation Is Good	p. 35
Rotation: Invariance and Infinitesimal Transformation	p. 38
Who Is Afraid of Tensors?	p. 52
From Change of Coordinates to Curved Spaces	p. 62
Curved Spaces: Gauss and Riemann	p. 82
Differential Geometry Made Easy, but Not Any Easier!	p. 96
Recap to Part I	p. 110
Action, Symmetry, and Conservation
The Hanging String and Variational Calculus	p. 113
The Shortest Distance between Two Points	p. 123
Physics Is Where the Action Is	p. 136
Symmetry and Conservation	p. 150
Recap to Part II	p. 155
Space and Time Unified
Galileo versus Maxwell	p. 159
Einstein's Clock and Lorentz's Transformation	p. 166
Minkowski and the Geometry of Spacetime	p. 174
Special Relativity Applied	p. 195
The Worldline Action and the Unification of Material Particles with Light	p. 207
Completion, Promotion, and the Nature of the Gravitational Field	p. 218
Recap to Part III	p. 238
Electromagnetism and Gravity
You Discover Electromagnetism and Gravity!	p. 241
Electromagnetism Goes Live	p. 248
Gravity Emerges!	p. 257
Recap to Part IV	p. 261
From the Happiest Thought to the Universe
Prologue to Book Two: The Happiest Thought	p. 265
Equivalence Principle and Curved Spacetime
Spacetime Becomes Curved	p. 275
The Power of the Equivalence Principle	p. 280
The Universe as a Curved Spacetime	p. 288
Motion in Curved Spacetime	p. 301
Tensors in General Relativity	p. 312
Covariant Differentiation	p. 320
Recap to Part V	p. 334
Einstein's Field Equation Derived and Put to Work
To Einstein's Field Equation as Quickly as Possible	p. 337
To Cosmology as Quickly as Possible	p. 355
The Schwarzschild-Droste Metric and Solar System Tests of Einstein Gravity	p. 362
Energy Momentum Distribution Tells Spacetime How to Curve	p. 378
Gravity Goes Live	p. 388
Initial Value Problems and Numerical Relativity	p. 400
Recap to Part VI	p. 406
Black Holes
Particles and Light around a Black Hole	p. 409
Black Holes and the Causal Structure of Spacetime	p. 419
Hawking Radiation	p. 436
Relativistic Stellar Interiors	p. 451
Rotating Black Holes	p. 458
Charged Black Holes	p. 477
Recap to Part VII	p. 485
Introduction to Our Universe
The Dynamic Universe	p. 489
Cosmic Struggle between Dark Matter and Dark Energy	p. 502
The Gamow Principle and a Concise History of the Early Universe	p. 515
Inflationary Cosmology	p. 530
Recap to Part VIII	p. 537
Gravity at Work and at Play
Aspects of Gravity
Parallel Transport	p. 543
Precession of Gyroscopes	p. 549
Geodesic Deviation	p. 552
Linearized Gravity, Gravitational Waves, and the Angular Momentum of Rotating Bodies	p. 563
A Road Less Traveled	p. 578
Isometry, Killing Vector Fields, and Maximally Symmetric Spaces	p. 585
Differential Forms and Vielbein	p. 594
Differential Forms Applied	p. 607
Conformal Algebra	p. 614
De Sitter Spacetime	p. 624
Ann de Sitter Spacetime	p. 649
Recap to Part IX	p. 668
Gravity Past, Present, and Future
Kafuza, Klein, and the Flowering of Higher Dimensions	p. 671
Brane Worlds and Large Extra Dimensions	p. 696
Effective Field Theory Approach to Einstein Gravity	p. 708
Finite Sized Objects and Tidal Forces in Einstein Gravity	p. 714
Topological Field Theory	p. 719
A Brief Introduction to Twistors	p. 729
The Cosmological Constant Paradox	p. 745
Heuristic Thoughts about Quantum Gravity	p. 760
Recap to Part X	p. 775
Closing Words	p. 777
Timeline of Some of the People Mentioned	p. 791
Solutions to Selected Exercises	p. 793
Bibliography	p. 819
Index	p. 821
Collection of Formulas and Conventions	p. 859
Table of Contents provided by Ingram. All Rights Reserved.

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