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The Geometry of Kerr Black Holes
     

The Geometry of Kerr Black Holes

by Barrett O'Neill
 

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This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment

Overview


This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry.
The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretations of geometric properties such as curvature, geodesics, isometries, totally geodesic submanifolds, and topological structure. Further investigations cover relativistic concepts such as causality, Petrov types, optical scalars, and the Goldberg-Sachs theorem. Four helpful appendixes supplement the text.

Editorial Reviews

Booknews
An introduction to modern differential geometry and relativity theory that studies the global geometry of Kerr spacetime--the relativistic model of the gravitational field of a rotating central mass. Three of the five chapters deal exclusively with Kerr spacetime (including geodesics and maximal extensions) while one gives general background and the fifth is an exposition of Petrov types and null congruences. Intended to be accessible to students and researchers in fields from abstract Lorentz geometry to observational astronomy. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9780486493428
Publisher:
Dover Publications
Publication date:
01/15/2014
Series:
Dover Books on Physics Series
Edition description:
Reprint
Pages:
400
Sales rank:
889,239
Product dimensions:
6.10(w) x 9.10(h) x 0.80(d)

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