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Lectures on gravitation

Author: Ashok Das
Publisher: Hackensack, N.J. : World Scientific, ©2011.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.
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Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Das, Ashok, 1953-
Lectures on gravitation.
Singapore ; Hackensack, NJ : World Scientific, ©2011
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ashok Das
ISBN: 9789814329378 9814329371
OCLC Number: 1058084214
Description: 1 online resource (xi, 338 pages) : illustrations
Contents: 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.
Responsibility: Ashok Das.

Abstract:

A book on gravitation that starts from a simple description of geometry. It includes the topics that are systematically developed to the big bang theory with a simple derivation of the cosmic  Read more...

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