Introduction to General Relativity

R. Parthasarathy (Autor)

Buch | Hardcover

302 Seiten

2016
Alpha Science International Ltd (Verlag)
978-1-84265-949-6 (ISBN)

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INTRODUCTION TO GENERAL RELATIVITY begins with a description of the geometry of curved space, explaining geodesics, parallel transport, covariant differentiation, geodesic deviation and spacetime symmetry by killing vectors. It then introduces Einstein's theory of gravitation followed by Schwarzschild solution with its relevance to Positive Mass theorem. The three tests for Einstein's gravity are explained. Other exact solutions such as Vaidya, Kerr and Reisner - Nordstrom metric are included. In the Chapter on cosmological solutions, a detailed description of Godel metric is provided. It then introduces five dimensional spacetime of Kaluza showing the unification of gravity with electromagnetism. This is extended to include non-Abelian gauge theory by invoking compact extra dimensions. Explicit expressions in this case for Christoffel connections and ricci tensor are derived and the higher dimensional gravity action is shown to compactification are given.

Chennai Mathematical Institute, H1, SIPCOT IT Park, Siruser, Tamilnadu

Preliminaries / Einstein's Theory of Gravitation / Schwarzschild Solution / Vaidya and Kerr Solutions / Reisner - Nordstrom Metric / Some Cosmological Solutions / Kaluza - Klein Theory I / Kaluza - Klein Theory II.

Erscheint lt. Verlag	30.1.2016
Verlagsort	Oxford
Sprache	englisch
Maße	160 x 240 mm
Gewicht	700 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
ISBN-10	1-84265-949-9 / 1842659499
ISBN-13	978-1-84265-949-6 / 9781842659496
Zustand	Neuware