An introduction to mathematical relativity

著者

• Natário, José

書誌事項

An introduction to mathematical relativity

José Natário

（Latin American mathematics series, . UFSCar subseries）

Springer , UFSCar, c2021

• pbk.

注記

Includes bibliographical references (p. 179-180) and index

内容説明・目次

内容説明

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 Tecnico (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 in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC13674082
• ISBN:
  • 9783030656850
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cham,[S.l.]
• ページ数/冊数: viii, 186 p.
• 大きさ: 24 cm
• 分類:
  • DC23 : 530.11
• 件名:
  • LCSH : General relativity (Physics) -- Mathematics
  • LCSH : Differential equations, Partial
  • LCSH : Geometry, Differential
• 親書誌ID:
  • BC04629768