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Spacetime: Foundations of General Relativity and Differential Geometry

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This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.

Author(s): Marcus Kriele
Series: Lecture notes in physics, New series Monographs 59
Edition: Corrected
Publisher: Springer
Year: 2001

Language: English
Commentary: no pages 162, 163 and references)
Pages: 450