Natário An Introduction to Mathematical Relativity

Erscheinungsjahr 2021
ISBN: 978-3-030-65683-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 186 Seiten

Reihe: Mathematics and Statistics (R0)

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics. 
Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either inRiemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.

Zielgruppe

Graduate

Autoren/Hrsg.

Natário, José

Inhaltsverzeichnis

- Preface.- Preliminaries.- Exact Solutions.- Causality.- Singularity Theorems.- Cauchy Problems.- Mass in general relativity.- Black Holes.- Appendix: Mathematical Concepts for Physicists.- Bibliography.- Index.

Über Autor(innen)

José Natário holds a DPhil in Mathematical Sciences (2000) from the University of Oxford, England. He has been an Associate Professor of Mathematics at Instituto Superior Técnico (University of Lisbon, Portugal) since 2010, where he teaches a course in Mathematical Relativity to Master and Doctorate students in Mathematics and Physics. He authored "General Relativity Without Calculus" (2011, ISBN 978-3-642-21451-6) and co-authored "An Introduction to Riemannian Geometry" (2014, ISBN 978-3-319-08665-1), both published by Springer.