A College Course on Relativity and Cosmology

Paperback | July 18, 2015

byTa-Pei Cheng

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This 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 placedon 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 inspired Einstein's idea of curved spacetime as the gravitational field. At a more mathematically accessible level, it provides a metricdescription of a warped space, allowing the reader to study many interesting phenomena such as gravitational time dilation, GPS operation, light deflection, precession of Mercury's perihelion, and black holes. Numerous modern topics in cosmology are discussed from primordial inflation and cosmicmicrowave background to the dark energy that propels an accelerating universe. Building on Cheng's previous book, Relativity, Gravitation and Cosmology: A Basic Introduction, this text has been tailored to the advanced student. It concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as anaccessible introduction of general relativity and cosmology for those readers who want to study the subject on their own. The proper tensor formulation of Einstein's field equation is presented in an appendix chapter for those wishing to glimpse further at the mathematical details.

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This 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 placedon physical examples and simple application...

Ta-Pei Cheng is a particle physics theorist. After graduating from Dartmouth College, he obtained his PhD at Rockefeller University with the noted physicist and Einstein biographer Abraham Pais. During 1973-2007 he was on the faculty at University of Missouri - St. Louis, where he now holds the rank of Professor Emeritus. Starting the ...

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Format:PaperbackDimensions:304 pages, 9.69 × 7.44 × 0.59 inPublished:July 18, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199693412

ISBN - 13:9780199693412

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Table of Contents

1. Introduction2. Special relativity: the new kinematics3. Special relativity: the flat spacetime4. Equivalence of gravitation and inertia5. GR as a geometric theory of gravity6. GR field equations and its spherical solution7. Black holes8. The GR framework for cosmology9. Big bang thermal relics10. Inflation and the accelerating universe11. Tensors formalism for GRAppendix A: Answer keys to review questionsAppendix B: Solution keys to selected exercisesAppendix C: Glossary of symbols and acronymsReferences and bibliography