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Introduction to General Relativity and the Cosmological Constant Problem - Marcelo Samuel Berman

Introduction to General Relativity and the Cosmological Constant Problem

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Published: 2006
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This book is an introductory text in General Relativity, while also focusing some solutions to the cosmological constant problem, which consists in an amazing 100 orders of magnitude discrepancy between the value of this constant in the present Universe, and its estimated value in the very early epoch. The author suggests that the constant is in fact, a time-varying function of the age of the Universe. The book offers a wealth of cosmological models, treats up to date findings, like the verification of the Lense-Thirring effect in the year 2004, and the recently published research by Cooperstock and Tieu (2005) suggesting that "dark" matter is not a necessary concept in order to explain the rotational velocities of stars around galaxies' nuclei. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.

Mathematical preliminariesp. 1
Tensors in amorphous spacesp. 3
Tensors in Riemann spacesp. 11
Introduction to general relativityp. 19
Basic theoryp. 21
Schwarzschild's metric and classical experimental testsp. 35
Complements of tensor calculus and general relativity (optional study)p. 51
Introduction to relativistic cosmologyp. 61
Digression into philosophical and mathematical matters (optional study)p. 63
Robertson-Walker's metricp. 77
Energy of the vacuum and the [Lambda]-universep. 97
The [Lambda] problem and its solutionp. 99
Energy of the universe and the [Lambda]-problemp. 109
Miscellaneous cosmological modelsp. 123
Concluding remarksp. 149
Concluding remarksp. 151
Gravitomagnetismp. 155
Absence of "dark" matter in galaxiesp. 167
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781594547171
ISBN-10: 1594547173
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 213
Published: 2006
Publisher: Nova Science Publishers Inc
Country of Publication: US
Dimensions (cm): 18.0 x 26.0  x 1.27
Weight (kg): 0.57