Moduli and (un)attractor black hole thermodynamics

Details Moduli and (un)attractor black hole thermodynamics Moduli and (un)attractor black hole thermodynamics

2006-11-14

arxiv.org/abs/hep-th/0611140v4

Gen.Rel.Grav.40:2069-2105,2008

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, no figures, V2: minor changes, misprints corrected, expanded references; V3: sections 4.3 and 4.5 added; V4: minor c

Scientific paper

10.1007/s10714-008-0616-6

We investigate four-dimensional spherically symmetric black hole solutions in gravity theories with massless, neutral scalars non-minimally coupled to gauge fields. In the non-extremal case, we explicitly show that, under the variation of the moduli, the scalar charges appear in the first law of black hole thermodynamics. In the extremal limit, the near horizon geometry is $AdS_2\times S^2$ and the entropy does not depend on the values of moduli at infinity. We discuss the attractor behaviour by using Sen's entropy function formalism as well as the effective potential approach and their relation with the results previously obtained through special geometry method. We also argue that the attractor mechanism is at the basis of the matching between the microscopic and macroscopic entropies for the extremal non-BPS Kaluza-Klein black hole.

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