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Fuchsian methods and spacetime singularities

Alan D Rendall

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Fuchsian methods and their applications to the study of the structure of spacetime singularities are surveyed. The existence question for spacetimes with compact Cauchy horizons is discussed. After some basic facts concerning Fuchsian equations have been recalled, various ways in which these equations have been applied in general relativity are described. Possible future applications are indicated.


PACS

04.20.Ex Initial value problem, existence and uniqueness of solutions

04.20.Dw Singularities and cosmic censorship

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Dates

Issue 3 (7 February 2004)

Received 9 September 2003

Published 13 January 2004



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