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Analytical and Numerical Approaches to Mathematical Relativity

Analytical and Numerical Approaches to Mathematical Relativity( )
Editor: Frauendiener, Jörg
Giulini, Domenico J. W.
Perlick, Volker
Foreword by: Penrose, Roger
Series title:Lecture Notes in Physics Ser.
ISBN:978-3-540-31027-3
Publication Date:Mar 2006
Publisher:Springer
Book Format:Hardback
List Price:USD $139.00
Book Description:

General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential...
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Book Details
Pages:281
Detailed Subjects: Mathematics / General
Physical Dimensions (W X L X H):6.045 x 9.165 Inches
Book Weight:2.904 Pounds
Author Biography
(Editor)
Born in England, the son of a geneticist, Roger Penrose received a Ph.D. in 1957 from Cambridge University. Penrose then became a professor of applied mathematics at Birkbeck College in 1966 and a Rouse Ball Professor of Mathematics at Oxford University in 1973.

Penrose, a mathematician and theoretical physicist, has done much to elucidate the fundamental properties of black holes. With Stephen Hawking, Penrose proved a theorem of Albert Einstein's general relativity, asserting that at the center of a black hole there must evolve a "space-time singularity" of zero volume and infinite density, in which the current laws of physics do not apply. He also proposed the hypothesis of "cosmic censorship," which claims that such singularities must possess an event horizon.

In 1969 Penrose described a process for the extraction of energy from a black hole, as well as how rotational energy of the black hole is transferred to a particle outside the hole. In addition, Penrose has done much to develop the mathematics needed to unite general relativity, which deals with the gravitational interactions of matter, and quantum mechanics, which describes all other interactions.

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