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Lectures on gravitation /
This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several in...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Das, Ashok, |d 1953- |1 https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd | |
| 245 | 1 | 0 | |a Lectures on gravitation / |c Ashok Das. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2011. | ||
| 300 | |a 1 online resource (xi, 338 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (page vii) and index. | ||
| 505 | 0 | |a Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation. | |
| 520 | |a This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well. | ||
| 588 | 0 | |a Print version record. | |
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