2008
DOI: 10.1103/physrevd.77.024047
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Thermodynamical properties of hairy black holes innspacetime dimensions

Abstract: 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 a… Show more

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Cited by 49 publications
(51 citation statements)
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References 65 publications
(94 reference statements)
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“…Now, when α → 0, the scalar potential V (φ) and rotating black hole solution f (r) reduce to the static counterparts of the static black hole solution in three-dimensional Einstein gravity with a nonminimally coupled scalar field [20].…”
Section: Rotating Black Holes Nonminimally Coupled To Scalar Fieldmentioning
confidence: 99%
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“…Now, when α → 0, the scalar potential V (φ) and rotating black hole solution f (r) reduce to the static counterparts of the static black hole solution in three-dimensional Einstein gravity with a nonminimally coupled scalar field [20].…”
Section: Rotating Black Holes Nonminimally Coupled To Scalar Fieldmentioning
confidence: 99%
“…More discussions on the hairy black hole solutions in AdS spacetimes can be found in Refs. [19][20][21][22][23][24][25][26].…”
mentioning
confidence: 99%
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“…Next we consider the hairy black hole solution in the Jordan frame, for Λ = 3 ℓ 2 > 0. This is a black hole solution in the Einstein theory with a self-interacting and conformally coupled scalar field (see [26,27]). One has C(r) = − r 2 ℓ 2 + (r + r 0 ) 2 r 2 , and ψ(r) = 0 , (4.9)…”
Section: Black Hole's Singularitiesmentioning
confidence: 99%
“…Nevertheless, when a negative cosmological constant is considered, the no-hair theorems can usually be circumvented, and then there exists a broad literature of black hole solutions with a (non)minimal scalar field in the four or higher dimensional Einstein's gravity, including static [5][6][7][8][9][10][11][12][13][14], and rotating [15][16][17] extensions with a complex, massive scalar field and in higher order derivative gravity [18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%