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Geometry of Black Holes - Oxford Scholarship Online
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Geometry of Black Holes

Piotr T. Chruściel


There exists a large scientific literature on black holes, including many excellent textbooks of various levels of difficulty. However, most of these prefer physical intuition to mathematical rigour. The object of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The first part of the book starts with a presentation, in Chapter 1, of some basic facts about Lorentzian manifolds. Chapter 2 develops those elements of Lorentzian causality theory which are key to the understanding of black-hole spacetimes. We present some applicatio ... More

Keywords: black holes, vacuum solutions of Einstein equations, event horizons, mathematics of black holes, Killing horizons, Cauchy horizons, Lorentzian causality theory, Penrose diagrams, Kerr–Newman–AdS metrics, Schwarzschild metric, domains of outer communication

Bibliographic Information

Print publication date: 2020 Print ISBN-13: 9780198855415
Published to Oxford Scholarship Online: December 2020 DOI:10.1093/oso/9780198855415.001.0001


Affiliations are at time of print publication.

Piotr T. Chruściel, author
Professor of Gravitational Physics, Head of the Gravitational Physics Group, Faculty of Physics, University of Vienna