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First-order flow equations for extremal and non-extremal black holes.

Authors :
Perz, Jan
Smyth, Paul
Riet, Thomas Van
Vercnocke, Bert
Source :
Journal of High Energy Physics; 2009, Vol. 2009 Issue 3, p150-150, 1p
Publication Year :
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 à 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
11266708
Volume :
2009
Issue :
3
Database :
Complementary Index
Journal :
Journal of High Energy Physics
Publication Type :
Academic Journal
Accession number :
86224908
Full Text :
https://doi.org/10.1088/1126-6708/2009/03/150