Geometry of Black Holes

Black holes present one of the most fascinating predictions of Einstein's general relativity, with strong evidence of their existence through observations of many means. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

Table des matières

• PART I GLOBAL LORENTZIAN GEOMETRY


• 1: Basic notions


• 2: Elements of causality


• 3: Some applications


• PART II BLACK HOLES


• 4: An introduction to black holes


• 5: Further selected solutions


• 6: Extensions, conformal diagrams


• 7: Projection diagrams


• 8: Dynamical black holes


• Appendices


• References


• Index

A propos de l'auteur

Univ. Prof. Dr. Piotr T. Chruściel is Professor of Gravitational Physics and Head of the Gravitational Physics Group, Faculty of Physics, University of Vienna, Austria.

Résumé

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity. There is strong evidence of their existence through observation of active galactic nuclei, including the centre of our galaxy, observations of gravitational waves, and others.

There exists a large scientific literature on black holes, including many excellent textbooks at various levels. However, most of these steer clear from the mathematical niceties needed to make the theory of black holes a mathematical theory. Those which maintain a high mathematical standard are either focused on specific topics, or skip many details. The objective of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject.

The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

Texte suppl.

Including some very interesting and unique material, the book is written in a manner that will be accessible for students, and provide a valuable resource for experts working in mathematical general relativity.

Détails du produit

• Auteurs: Piotr T. (Professor of Gravitational Ph Chrusciel, Piotr T. Chruściel
• Edition: Oxford University Press
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 25.08.2020
• EAN: 9780198855415
• ISBN: 978-0-19-885541-5
• Pages: 416
• Thème: International Series of Monographs on Physics
• Catégories: Sciences naturelles, médecine, informatique, technique > Physique, astronomie > Général, dictionnaires; Astrophysics, Gravity, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Geometry / Differential, SCIENCE / Physics / Astrophysics, Theoretical & mathematical astronomy, Mathematical physics, Differential & Riemannian geometry, Theoretical and mathematical astronomy, SCIENCE / Physics / Gravity, Differential and Riemannian geometry