Fuchsian methods and spacetime singularities

Rendall, Alan D.

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Fuchsian methods and spacetime singularities

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall, A. D. (2004). Fuchsian methods and spacetime singularities. Classical and Quantum Gravity, 21, S295-S304.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-509F-E

Abstract

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.