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

Abstract

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.

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

References in corpus (2)

• Coexistence of black holes and a long-range scalar field in cosmology
• Instability of a four-dimensional de Sitter black hole with a conformally coupled scalar field

Cited by in corpus (22)

• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in Four Dimensions
• Electrically charged black hole with scalar hair
• Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V terms
• Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
• Thermodynamical properties of hairy black holes in n spacetimes dimensions
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Static black hole solutions with a self interacting conformally coupled scalar field
• Thermodynamics of rotating black holes with scalar hair in three dimensions
• First law of black hole thermodynamics and Smarr formula with a cosmological constant
• Strong Cosmic Censorship under Quasinormal Modes of Non-Minimally Coupled Massive Scalar Field
• Phantom black holes and critical phenomena
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Can a black hole with conformal scalar hair rotate?
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Higher-dimensional solitons and black holes with a non-minimally coupled scalar field
• New look at AdS black holes with conformal scalar hair
• Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Extending Bekenstein's theorem in order to search exact solutions of Einstein-Maxwell-conformal-scalar equations