Thermodynamics of de Sitter black holes with a conformally coupled scalar field

Details Thermodynamics of de Sitter black holes with a conformally coupled scalar field Thermodynamics of de Sitter black holes with a conformally coupled scalar field

2005-04-19

arxiv.org/abs/gr-qc/0504087v2

Phys.Rev.D72:024008,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures, REVTEX. Minor changes, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.024008

We study the thermodynamics of de Sitter black holes with a conformally coupled scalar field. The geometry is that of the ``lukewarm'' Reissner-Nordstrom-de Sitter black holes, with the event and cosmological horizons at the same temperature. This means that the region between the event and cosmological horizons can form a regular Euclidean instanton. The entropy is modified by the non-minimal coupling of the scalar field to the geometry, but can still be derived from the Euclidean action, provided suitable modifications are made to deal with the electrically charged case. We use the first law as derived from the isolated horizons formalism to compute the local horizon energies for the event and cosmological horizons.

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