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Black holes, first-order flow equations and geodesics on symmetric spaces

✍ Scribed by J. Perz; P. Smyth; T. Van Riet; B. Vercnocke

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 170 KB
Volume: 57
Category: Article
ISSN: 0015-8208
DOI: 10.1002/prop.200900024

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✦ Synopsis

Abstract

For both extremal and non‐extremal spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity, we derive a general form of first‐order gradient flow equations, equivalent to the equations of motion. For theories that have a symmetric moduli space after a dimensional reduction over the timelike direction, we discuss the condition for such a gradient flow to exist.

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