Hairy planar black holes in higher dimensions

Aceña, Andrés; Anabalón, Andrés; Astefanesei, Dumitru; Mann, Robert B.

doi:10.1007/jhep01(2014)153

Cited by 46 publications

(73 citation statements)

References 47 publications

(83 reference statements)

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“…It should be noted that the boundary conditions φ 2 (φ 1 ) of our scalar field Ansatzes given by (17) preserve all the asymptotic AdS symmetries. The analysis of [5,6,34] showed that, under such special boundary conditions, the masses calculated by Wald's formula [32,33], the Hamiltonian formula [27,30] and the AMD [35,36] conformal method are the same.…”

Section: B the Thermodynamicsmentioning

confidence: 99%

“…However, as there is too much freedom in constructing a scalar potential without breaking any essential symmetry, starting from some arbitrary scalar potential, the possibility to find an exact solution could be almost null. Hence it is not surprising that there is not much progress [9,10] in constructing exact solutions for a long time until recently [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], people begin to think in a reverse way, which is trying to give a proper Ansatz for the scalar field first then deriving the corresponding Lagrangian (or scalar potential) through the EOMs at last.…”

Section: Arxiv:150102829v3 [Hep-th] 6 Nov 2015mentioning

confidence: 99%

“…Here we drop the other physical integration constant r 0 and the boundary condition φ 2 ∼ φ p2/p1 1 is automatically given, so starting from an Ansatz satisfying (17) we may get solutions with only one physical integration constant (at least in the scalar field), which we will see later, the only found solution with two physical integration constant is given in the subsection III E. We can further simplify the scalar field Ansatz by just choosing φ(r) as simple analytical functions of φ1 r p 1 which will absolutely satisfy (17).…”

Section: Constructing Exact Solutions With Schwarzschild Sphericamentioning

confidence: 99%

“…To find soliton solutions, which have no event horizon and singularity, the Ansatz for the scalar field should be regular everywhere and must satisfy (17), because static solitons only have one integration constant φ 1 .…”

Section: Constructing Exact Solutions With Schwarzschild Sphericamentioning

confidence: 99%

“…which satisfies (17). It is difficult to get exact solutions for a general µ, so we only give three examples with µ = 2 , 3 , 4.…”

Section: -D Solutionsmentioning

confidence: 99%

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Strategy to construct exact solutions in Einstein-scalar gravities

Wen

2015

Phys. Rev. D

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We propose a new efficient strategy to construct exact solutions of Einstein-scalar gravities. We find that with some given metric Ansatz the EOMs (equations of motion) are invariant under a rescaling operation along the radial direction, which makes the function of the scalar field scale invariant. Our strategy is to use the symmetry of the EOMs to give a scale invariant Ansatz for scalar field first, then derive the metric and the corresponding scalar potential later. We construct large classes of exact solutions with two kinds of spherical metric, which include many new scalar hairy black holes in different dimensions and some three-dimensional solitons and conical defects. We also discuss the thermodynamics of these solutions in general with Wald's formula.

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Section: B the Thermodynamicsmentioning

confidence: 99%

Section: Arxiv:150102829v3 [Hep-th] 6 Nov 2015mentioning

confidence: 99%

Section: Constructing Exact Solutions With Schwarzschild Sphericamentioning

confidence: 99%

Section: Constructing Exact Solutions With Schwarzschild Sphericamentioning

confidence: 99%

“…which satisfies (17). It is difficult to get exact solutions for a general µ, so we only give three examples with µ = 2 , 3 , 4.…”

Section: -D Solutionsmentioning

confidence: 99%

See 3 more Smart Citations

Strategy to construct exact solutions in Einstein-scalar gravities

Wen

2015

Phys. Rev. D

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New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Canfora

Oliva

Oyarzo

2022

J. High Energ. Phys.

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We start by revisiting the problem of finding BPS solutions in $$ \mathcal{N} $$ N = 4 SU (2) × SU (2) gauged supergravity. We report on a new supersymmetric solution in the Abelian sector of the theory, which describes a soliton that is regular everywhere. The solution is 1/4 BPS and can be obtained from a double analytic continuation of a planar solution found by Klemm in hep-th/9810090. Also in the Abelian sector, but now for a spherically symmetric ansatz we find a new solution whose supersymmetric nature was overlooked in the previous literature. Then, we move to the non-Abelian sector of the theory by considering the meron ansatz for SU (2). We construct electric-meronic and double-meron solutions and show that the latter also leads to 1/4 BPS configurations that are singular and acquire an extra conformal Killing vector. We then move beyond the supergravity embedding of this theory by modifying the self-interaction of the scalar, but still within the same meron ansatz for a single gauge field, which is dilatonically coupled with the scalar. We construct exact black holes for two families of self-interactions that admit topologically Lifshitz black holes, as well as other black holes with interesting causal structures and asymptotic behavior. We analyze some thermal properties of these spacetimes.

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Thermodynamics of AdS black holes in Einstein-Scalar gravity

Lü

Pope

Wen

2015

J. High Energ. Phys.

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Abstract:We study the thermodynamics of n-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the BreitenlohnerFreedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or "charge") contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results.

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Hairy planar black holes in higher dimensions

Cited by 46 publications

References 47 publications

Strategy to construct exact solutions in Einstein-scalar gravities

Strategy to construct exact solutions in Einstein-scalar gravities

New BPS solitons in $$ \mathcal{N} $$ = 4 gauged supergravity and black holes in Einstein-Yang-Mills-dilaton theory

Thermodynamics of AdS black holes in Einstein-Scalar gravity

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