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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Für die Erwachsenenbildung
Für Beruf und Forschung
Illustrationen
46
7 s/w Abbildungen, 46 farbige Abbildungen
IX, 283 p. 53 illus., 46 illus. in color.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 17 mm
Gewicht
ISBN-13
978-3-030-28415-2 (9783030284152)
DOI
10.1007/978-3-030-28416-9
Schweitzer Klassifikation
Piotr T. Chrusciel 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.
Introduction to tensor calculus and Riemannian geometry.- Curved space-time.- The Schwarzschild metric.- Weak fields, gravitational waves.- Stars.- Cosmology.
