New approaches to higher-dimensional general relativity

Details New approaches to higher-dimensional general relativity New approaches to higher-dimensional general relativity

2011-04-22

arxiv.org/abs/1104.4414v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

PhD thesis (University of Cambridge, submitted Jan 2011), 226 pages, 7 figures

Scientific paper

This PhD thesis contains a collection of work related to the algebraic classification of spacetimes in higher dimensions, including an up-to-date review of various aspects of the field. The work discussed includes the higher-dimensional Geroch-Held-Penrose formalism, a partial generalization of the Goldberg-Sachs theorem to higher-dimensions, and applications of these results to studying the stability of extremal black holes.

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