Lectures on gravitation

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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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Title Statements

Full title :Lectures on gravitation / Ashok Das.

Summary

Edition Statements

Publication Date:©2011.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Hackensack, N.J
Language:eng
Publication Date:©2011.

Notes

Titre de l'écran-titre (visionné le 02 mai 2012).

TRAITEMENT SOMMAIRE.

The Physical Object

Description:1 online resource

Edition Identifiers

oclc:ocn840862890
LC Classification:QC173.6
Dewey Decimal:531/.14

1. Basics of geometry and relativity. 1.1. Two dimensional geometry. 1.2. Inertial and gravitational masses. 1.3. Relativity -- 2. Relativistic dynamics. 2.1. Relativistic point particle. 2.2. Current and charge densities. 2.3. Maxwell's equations in the presence of sources. 2.4. Motion of a charged particle in EM field. 2.5. Energy-momentum tensor. 2.6. Angular momentum -- 3. Principle of general covariance. 3.1. Principle of equivalence. 3.2. Principle of general covariance. 3.3. Tensor densities -- 4. Affine connection and covariant derivative. 4.1. Parallel transport of a vector. 4.2. Christoffel symbol. 4.3. Covariant derivative of contravariant tensors. 4.4. Metric compatibility. 4.5. Covariant derivative of covariant and mixed tensors. 4.6. Electromagnetic analogy. 4.7. Gradient, divergence and curl -- 5. Geodesic equation. 5.1. Covariant differentiation along a curve. 5.2. Curvature from derivatives. 5.3. Parallel transport along a closed curve. 5.4. Geodesic equation. 5.5. Derivation of geodesic equation from a Lagrangian -- 6. Applications of the geodesic equation. 6.1. Geodesic as representing gravitational effect. 6.2. Rotating coordinate system and the Coriolis force.…

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Big bang Big bang theory Big bang theory -- Textbooks e-books General relativity (Physics) General relativity (Physics) -- Textboo… Livres électroniques Livres numériques Relativité générale (Physique) Textbooks