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First-order flow equations for extremal and non-extremal black holes
- Source :
- SCOPUS, RUO. Repositorio Institucional de la Universidad de Oviedo, instname
- Publication Year :
- 2009
- Publisher :
- Springer Science and Business Media LLC, 2009.
-
Abstract
- We derive a general form of first-order flow equations for extremal and non-extremal, static, spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity. By rewriting the action as a sum of squares a la Bogomol'nyi, we identify the function governing the first-order gradient flow, the `generalised superpotential', which reduces to the `fake superpotential' for non-supersymmetric extremal black holes and to the central charge for supersymmetric black holes. For theories whose scalar manifold is a symmetric space after a timelike dimensional reduction, we present the condition for the existence of a generalised superpotential. We provide examples to illustrate the formalism in four and five spacetime dimensions.<br />Comment: 27 pages, v2: small changes, referencing and misprints corrected, v3: text updated and a reference added to match the JHEP version
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
Scalar (mathematics)
domain-walls
attractors
FOS: Physical sciences
black holes in string theory
extended supergravity
High Energy Physics::Theory
General Relativity and Quantum Cosmology
integrable equations in physics
moduli
Mathematical physics
Physics
Spacetime
High Energy Physics::Phenomenology
Superpotential
Explained sum of squares
black holes
High Energy Physics - Theory (hep-th)
Dimensional reduction
Symmetric space
geodesic motion
Balanced flow
Central charge
cosmology
Subjects
Details
- ISSN :
- 10298479
- Volume :
- 2009
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....3b676803579e0be7b324b617be11dd96