Differential Geometry and General Relativity

Volume 1

Canbin Liang, Bin Zhou (Autoren)

Buch | Hardcover

546 Seiten

2023 | 2023 ed.
Springer Verlag, Singapore
978-981-99-0021-3 (ISBN)

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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.

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.

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.

Erscheinungsdatum	01.09.2023
Reihe/Serie	Graduate Texts in Physics
Übersetzer	Weizhen Jia, Bin Zhou
Zusatzinfo	2 Illustrations, color; 177 Illustrations, black and white; XXX, 546 p. 179 illus., 2 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	981-99-0021-2 / 9819900212
ISBN-13	978-981-99-0021-3 / 9789819900213
Zustand	Neuware