Elements of General Relativity (Compact Textbooks in Mathematics) - Softcover

Chruściel, Piotr T.

Softcover

ISBN 10: 3030284158 ISBN 13: 9783030284152

Publisher: Birkhäuser, 2020

Synopsis

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. 

The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

About this title

About the Author

Piotr T. Chruściel is Professor of Gravitational Physics at the Faculty of Physics of the University of Vienna, where he heads the gravitational physics group. His previous academic postings include the University of Oxford, where he was a lecturer with title of Professor at the Mathematical Institute and a Fellow of Hertford College. He is a Life Member of Clare Hall, Cambridge. He is a specialist in all aspects of mathematical general relativity.

From the Back Cover

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed.

The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

Edition details

• Publisher: Birkhäuser
• Publication date: 2020
• Language: English
• ISBN 10: 3030284158
• ISBN 13: 9783030284152
• Binding: Paperback
• Edition number: 1
• Number of pages: 292