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

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

2009-01-28

arxiv.org/abs/0901.4539v2

Fortsch.Phys.57:659-665,2009

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, contribution to the proceedings of the 4th RTN Workshop 'Constituents, Fundamental Forces and Symmetries of the Unive

Scientific paper

10.1002/prop.200900024

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. This note reviews the results of arXiv:0810.1528 [hep-th].

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