Black hole entropy, flat directions and higher derivatives

Details Black hole entropy, flat directions and higher derivatives Black hole entropy, flat directions and higher derivatives

2009-06-26

arxiv.org/abs/0906.4910v1

JHEP 0910:024,2009

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, PACS numbers: 04.50.Gh, 04.70.Dy, 04.65.+e

Scientific paper

10.1088/1126-6708/2009/10/024

Higher order derivative corrections to the Einstein--Maxwell action are considered and an explicit form is found for the corrections to the entropy of extremal black holes. We speculate on the properties of these corrections from the point of view of small black holes and in the case when the classical black hole potential exhibits flat directions. A particular attention is paid to the issue of stability of several solutions, including large and small black holes by using properties of the Hessian matrix of the effective black hole potential. This is done by using a model independent expression for such matrix derived within the entropy function formalism.

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