Effective action for the field equations of charged black holes

Details Effective action for the field equations of charged black holes Effective action for the field equations of charged black holes

2007-08-21

arxiv.org/abs/0708.2829v2

Class.Quant.Grav.25:035010,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, (v2: small corrections, version to be published in CQG)

Scientific paper

10.1088/0264-9381/25/3/035010

In this article, we consistently reduce the equations of motion for the bosonic N = 2 supergravity action, using a multi-centered black hole ansatz for the metric. This reduction is done in a general, non-supersymmetric setup, in which we extend concepts of BPS black hole technology. First of all we obtain a more general form of the black hole potential, as part of an effective action for both the scalars and the vectors in the supergravity theory. Furthermore, we show that there are extra constraints specifying the solution, which we calculate explicitly. In the literature, these constraints have already been studied in the one-center case. We also show that the effective action we obtain for non-static metrics, can be linked to the "entropy function" for the spherically symmetric case, as defined by Sen and Cardoso et al.

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