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

Barlow, Anne-Marie; Doherty, D. T.; Winstanley, Elizabeth

doi:10.1103/physrevd.72.024008

Cited by 28 publications

(44 citation statements)

References 26 publications

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“…It has been discussed for a charged BH in [53]. We anticipate that our conclusions will be slightly different.…”

Section: The N 4 > 0 Casementioning

confidence: 89%

“…However, for < 0, all the BH solutions found so far have non-negative entropy. For > 0, negative entropy may appear and the n 4 case has been considered in [53]. Here we present a detailed investigation of the thermodynamics associated with all BH hairy solutions previously discussed.…”

Section: Thermodynamics Of Black Hole Solutionsmentioning

confidence: 97%

“…The computation becomes more and more involved, and the results are the following: For arbitrary n > 4, and with k Þ 0, it seems unlikely that other solutions exist under our assumptions about the form of the metric (we have not found any up to n 11, but were unable to prove this in general). If k 0 and if n n ÿ 2 2 r 2 0 8l 2 c 4=nÿ2 (53) holds, then the unique solution is…”

Section: The Solutions For N >mentioning

confidence: 99%

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Thermodynamical properties of hairy black holes innspacetime dimensions

2008

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The issue concerning the existence of exact black hole solutions in the presence of a nonvanishing cosmological constant and scalar fields is reconsidered. With regard to this, in investigating no-hair theorem violations, exact solutions of gravity having as a source an interacting and conformally coupled scalar field are revisited in arbitrary dimensional nonasymptotically flat space-times. New and known hairy black hole solutions are discussed. The thermodynamical properties associated with these solutions are investigated and the invariance of the black hole entropy with respect to different conformal frames is proved. The issue of the positivity of the entropy is discussed and resolved for the case of black holes immersed in de Sitter space.

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“…It has been discussed for a charged BH in [53]. We anticipate that our conclusions will be slightly different.…”

Section: The N 4 > 0 Casementioning

confidence: 89%

Section: Thermodynamics Of Black Hole Solutionsmentioning

confidence: 97%

Section: The Solutions For N >mentioning

confidence: 99%

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Thermodynamical properties of hairy black holes innspacetime dimensions

2008

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“…The thermodynamics and the stability for the black hole with positive cosmological constant have been discussed in Refs. [36,37], respectively. Further aspects of this class of solutions have been studied in [38].…”

Section: Solutions With a Nonvanishing Self-interaction Couplingmentioning

confidence: 99%

Topological black holes dressed with a conformally coupled scalar field and electric charge

2006

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Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a solution describing an asymptotically locally AdS charged black hole dressed with a scalar field that is regular on and outside the event horizon, which is a surface of negative constant curvature. This black hole can have negative mass, which is bounded from below for the extremal case, and its causal structure shows that the solution describes a ''black hole inside a black hole''. The thermodynamics of the nonextremal black hole is analyzed in the grand canonical ensemble. The entropy does not follow the area law, and there is an effective Newton constant which depends on the value of the scalar field at the horizon. If the base manifold is locally flat, the solution has no electric charge, and the scalar field has a vanishing stress-energy tensor so that it dresses a locally AdS spacetime with a nut at the origin. In the case of vanishing self interaction, the solutions also dress locally AdS spacetimes, and if the base manifold is of negative constant curvature a massless electrically charged hairy black hole is obtained. The thermodynamics of this black hole is also analyzed. It is found that the bounds for the black holes parameters in the conformal frame obtained from requiring the entropy to be positive are mapped into the ones that guarantee cosmic censorship in the Einstein frame.

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“…The exact black hole solutions with nonminimally coupled scalar field in dS spacetime have also been discussed in Refs. [8,9], while they were also found unstable [10,11].…”

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confidence: 99%

Thermodynamics of rotating black holes with scalar hair in three dimensions

et al. 2014

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Introducing a new form of scalar potential V (φ), we derive a proper form of the rotating black hole solution in three-dimensional Einstein gravity with nonminimally coupled scalar field and find that the first law of thermodynamics of this new rotating hairy black hole can be protected, where the scalar field parameter B is constrained to relate to the black hole size. We also disclose the Hawking-Page phase transition between this rotating hairy black holes and the pure thermal radiation. Moreover, we study phase transitions between this rotating hairy black hole and rotating BTZ black hole. Considering the matchings for the temperature and angular momentum, we find that the rotating BTZ black hole always has smaller free energy which is a thermodynamically more preferred phase. Additionally, we evaluate the thermodynamics of the rotating black hole with minimally coupled scalar hair in three dimensions, which exhibits that the thermodynamical behaviors of this rotating hairy black hole are very similar to those of the rotating black hole with nonminimally coupled scalar hair.

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

Cited by 28 publications

References 26 publications

Thermodynamical properties of hairy black holes innspacetime dimensions

Thermodynamical properties of hairy black holes innspacetime dimensions

Topological black holes dressed with a conformally coupled scalar field and electric charge

Thermodynamics of rotating black holes with scalar hair in three dimensions

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