English

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

High Energy Physics - Theory 2009-06-08 v2

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

Keywords

Cite

@article{arxiv.0901.4539,
  title  = {Black holes, first-order flow equations and geodesics on symmetric spaces},
  author = {Jan Perz and Paul Smyth and Thomas Van Riet and Bert Vercnocke},
  journal= {arXiv preprint arXiv:0901.4539},
  year   = {2009}
}

Comments

6 pages, contribution to the proceedings of the 4th RTN Workshop 'Constituents, Fundamental Forces and Symmetries of the Universe', Varna, 11-17 September 2008; v2: a reference added

R2 v1 2026-06-21T12:05:40.314Z