Differential Geometry and General Relativity

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Sprache: Englisch

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Beschreibung

This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book¿s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists.

Über den Autor

Canbin Liang (1938-2022) was a professor at Beijing Normal University, China. His main research area was general relativity. He received "The First National Outstanding Teaching Achievement Award" in 1989 and his book Electromagnetism was honored with the "Excellent Textbook Award" in 1988. He has published more than 50 research articles and 7 monographs.

Bin Zhou is an associate professor at Beijing Normal University, China. His research mainly focuses on general relativity and mathematical physics. He has published 27 research articles.

Weizhen Jia, the English translator of the book, is currently a PhD candidate at the University of Illinois at Urbana-Champaign, USA. He conducts research in the field of high energy physics.

Zusammenfassung

A textbook for graduate-level courses on general relativity

Includes both essential and optional reading sections to meet the needs of readers at various levels

Uses pedagogic features including numerous exercises, examples, and illustrations to elaborate on difficult concepts

Inhaltsverzeichnis

Topological Spaces in Brief.- Manifolds and Tensor Fields.- The Riemann (Intrinsic) Curvature Tensor.- Lie Derivative, Killing Fields and Hypersurfaces.- Differential Forms and Their Integrals.- Special Relativity.- Foundations of General Relativity.- Solving the Einstein's Equation.- Schwarzschild Spacetimes.- Cosmology.- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units.

Details

Erscheinungsjahr:	2023
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	576
Reihe:	Graduate Texts in Physics
Inhalt:	xxx 546 S. 177 s/w Illustr. 2 farbige Illustr. 546 p. 179 illus. 2 illus. in color.
ISBN-13:	9789819900213
ISBN-10:	9819900212
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Liang, Canbin Zhou, Bin
Übersetzung:	Jia, Weizhen Zhou, Bin
Auflage:	1st ed. 2023
Hersteller:	Springer Singapore Springer Nature Singapore Graduate Texts in Physics
Maße:	241 x 160 x 35 mm
Von/Mit:	Canbin Liang (u. a.)
Erscheinungsdatum:	29.08.2023
Gewicht:	1,126 kg

preigu-id: 126336657