Geometry of spacetime : a mathematical introduction to relativity theory

By:

Oloff, Rainer

Series: Graduate texts in physicsPublication details: Cham, Switzerland : Springer, 2023.Description: xix, 274 pages : illustrations ; 23 cmISBN:

9783031161414

Other title:

Geometrie der Raumzeit

Subject(s):

DDC classification:

530.12:514.76 OLO-G

Online resources:

Summary: 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.

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Item type	Current library	Call number	Status	Date due	Barcode
Book	NISER LIBRARY	530.12:514.76 OLO-G (Browse shelf(Opens below))	Checked out to YOGESH KUMAR SRIVASTAVA (0089)	29/03/2026	26488

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Previous	530.1.23 WAL-S Space, time and gravity	530.1.23 WAL-S Space, time and gravity	530.1.23 WAL-S Space, time and gravity	530.12:514.76 OLO-G Geometry of spacetime : a mathematical introduction to relativity theory	530.12:517.763.4 FEL-R Relativity on curved manifolds:relativity on curved manifolds	530.12:524.8 NAR-L Lectures on general relativity and cosmology	530.14 KUM-A Aspects and applications of Chern–Simons theories	Next

Translated from the German.

Includes bibliographical references and index.

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.

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