The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory
Author:   Rainer Oloff
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2023
ISBN:  

9783031161384


Pages:   274
Publication Date:   22 April 2023
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory


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Overview

This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail.  The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.

Full Product Details

Author:   Rainer Oloff
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2023
Weight:   0.612kg
ISBN:  

9783031161384


ISBN 10:   3031161386
Pages:   274
Publication Date:   22 April 2023
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Differentiable manifolds.- Tangent vectors.- Tensors.- Semi-Riemann manifolds.- Special relativity.- Differential forms.- Covariant derivation of vector fields.- Curvature.- Matter.- Geodesy.- Covariant differentiation of tensor fields.- Lie derivation.- Integration on manifolds.- Non-rotating black holes.- Cosmology.- Rotating black holes.- An overview of string theory.

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Author Information

Rainer Oloff received his doctorate, and later taught, at the Friedrich Schiller University of Jena, specializing in the field of analysis. He also had sojourns teaching at the Addis Ababa University and the University of Salzburg.

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