Black holes, first-order flow equations and geodesics on symmetric spaces
arXiv:0901.4539 · doi:10.1002/prop.200900024
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].
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
References in corpus (18)
- N=2 Extremal Black Holes
- Supersymmetry and Attractors
- Black Holes and Critical Points in Moduli Space
- Universality of Sypersymmetric Attractors
- Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
- Flow Equations for Non-BPS Extremal Black Holes
- Hidden supersymmetry of domain walls and cosmologies
- First-order flow equations for extremal black holes in very special geometry
- Generating Geodesic Flows and Supergravity Solutions
- First Order Description of Black Holes in Moduli Space
- On the fakeness of fake supergravity
- First-order flow equations for extremal and non-extremal black holes
- d=4 Attractors, Effective Horizon Radius and Fake Supergravity
- From AdS Black Holes to Supersymmetric Flux-branes
- Nonextremal black holes are BPS
- On five-dimensional non-extremal charged black holes and FRW cosmology
- A first-order formalism for timelike and spacelike brane solutions
- Axion-Dilaton Domain Walls and Fake Supergravity