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relativity, gravitation and cosmology ta-pei cheng [pdf] MathSchool

Relativity, Gravitation, and Cosmology: A Basic Introduction by Ta-Pei Cheng

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About this book :-
Relativity, Gravitation, and Cosmology: A Basic Introduction Ta-Pei Cheng .
Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein's field equation and cosmology. The author presents the subject from the very beginning with an emphasis on physical examples and simple applications without the full tensor apparatus. One first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, as well as cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation and cosmic microwave anisotropy to the "dark energy" that propels as accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity, gravitation and cosmology on their own.

Book Detail :-
Title: Relativity, Gravitation, and Cosmology: A Basic Introduction
Author(s): Ta-Pei Cheng
Publisher: Oxford University Press
Year: 2005
Pages: 355
Type: PDF
Language: English
ISBN: 9780198529569,0-19-852956-2
Country: US
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About Author :- The author Ta-Pei Cheng is from University of Missouri—St. Louis, Columbia, Missouri, US.

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Book Contents :-
Relativity, Gravitation, and Cosmology: A Basic Introduction Ta-Pei Cheng cover the following topics.
Part-I RELATIVITY Metric Description of Spacetime
1. Introduction and overview
2. Special relativity and the flat spacetime
3. The principle of equivalence
4. Metric description of a curved space
5. GR as a geometric theory of gravity - I
6. Spacetime outside a spherical star
7. The homogeneous and isotropic universe
8. The expanding universe and thermal relics
9. Inflation and the accelerating universe
Part-III RELATIVITY Full Tensor Formulation
10. Tensors in special relativity
11. Tensors in general relativity
12. GR as a geometric theory of gravity - II
13. Linearized theory and gravitational waves
A Supplementary notes
A.1 The twin paradox (Section 2.3.4)
A.2 A glimpse of advanced topics in black hole physics(Section 6.4)
A.3 False vacuum and hidden symmetry (Section 9.2.2)
A.4 The problem of quantum vacuum energy as  (Section 9.4)
B Answer keys to review questions
C Solutions of selected problems


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