Moduli and (un)attractor black hole thermodynamics

Dumitru Astefanesei, Kevin Goldstein, Swapna Mahapatra

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


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 AdS2 × S2 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.

Original languageEnglish
Pages (from-to)2069-2105
Number of pages37
JournalGeneral Relativity and Gravitation
Issue number10
StatePublished - Oct 2008
Externally publishedYes


  • Attractors
  • Black holes
  • Entropy function
  • String theory


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