Geometry of Black Holes
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Product details:
- Publisher OUP Oxford
- Date of Publication 13 April 2023
- ISBN 9780198873204
- Binding Paperback
- No. of pages406 pages
- Size 246x171x20 mm
- Weight 818 g
- Language English
- Illustrations 82 b/w figures, 15 colour illustrations 278
Categories
Short description:
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.
MoreLong description:
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.
Written with a high standard of rigor and care, with very good treatments of many topics that are hard to find elsewhere.
Table of Contents:
PART I GLOBAL LORENTZIAN GEOMETRY
Basic Notions
Elements of causality
Some applications
PART II BLACK HOLES
An introduction to black holes
Further selected solutions
Extensions, conformal diagrams
Projection diagrams
Dynamical black holes
