The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory (Graduate Texts in Physics) - Hardcover

Oloff, Rainer

Hardcover

ISBN 10: 3031161386 ISBN 13: 9783031161384

Publisher: Springer, 2023

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2023
• Language: English
• ISBN 10: 3031161386
• ISBN 13: 9783031161384
• Binding: Hardcover
• Number of pages: 293