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Spacetime [electronic resource] : Foundations of General Relativity and Differential Geometry / by Marcus Kriele.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Physics, Monographs ; 59Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999Description: XIX, 436 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540483540
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 523.1 23
LOC classification:
  • QB980-991
Online resources:
Contents:
Local theory of space and time -- Analysis on manifolds -- Space and time from a global point of view -- Pseudo-Riemannian manifolds -- General relativity -- Robertson-Walker cosmology -- Spherical symmetry -- Causality -- Singularity theorems.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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Local theory of space and time -- Analysis on manifolds -- Space and time from a global point of view -- Pseudo-Riemannian manifolds -- General relativity -- Robertson-Walker cosmology -- Spherical symmetry -- Causality -- Singularity theorems.

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.

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