Different phases of hairy black holes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>space

Giribet, Gastón; Goya, Andrés Fabio; Oliva, Julio

doi:10.1103/physrevd.91.045031

Cited by 35 publications

(64 citation statements)

References 23 publications

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“…Recently, it has been shown [16] that a scalar field can be conformally coupled to the Lovelock terms and the resulting theory gives rise to analytic hairy black hole solutions [17] evading no-go results which had been reported previously [18]. These solutions have already been shown to possess interesting thermodynamic properties [19][20][21] (such as reentrant phase transitions), and are of inherent interest due to the role scalar hair plays in holography, e.g. in descriptions of holographic superconductors and superfluids [22,23].…”

mentioning

confidence: 94%

Superfluid Black Holes

Hennigar¹,

Mann²,

Tjoa³

2017

Phys. Rev. Lett.

190

131

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We present what we believe is the first example of a "λ-line" phase transition in black hole thermodynamics. This is a line of (continuous) second order phase transitions which in the case of liquid 4 He marks the onset of superfluidity. The phase transition occurs for a class of asymptotically AdS hairy black holes in Lovelock gravity where a real scalar field is conformally coupled to gravity. We discuss the origin of this phase transition and outline the circumstances under which it (or generalizations of it) could occur. The study of black hole thermodynamics provides valuable insight into quantum properties of the gravitational field. The thermodynamics of anti de Sitter black holes has been of great interest since the pioneering work of Hawking and Page which demonstrated the existence of a thermal radiation/large AdS black hole phase transition [1]. Furthermore, these spacetimes admit a gauge duality description via a dual thermal field theory.Recently there has been interest in treating the cosmological constant as a thermodynamic variable [2] which plays the role of pressure in the first law [3][4][5]. Within this context, the black hole mass takes on the interpretation of enthalpy and a number of connections with ordinary thermodynamics emerge. It was shown that the thermodynamic behaviour of a charged AdS black hole is analogous to the van der Waals liquid/gas system, with the role of the liquid/gas transition played by a small/large black hole phase transition [6]. Subsequent work has revealed examples of triple points [7], (multiple) reentrant phase transitions [8,9], isolated critical points [10, 11] and a host of other behaviour for black holes (see [12] and references therein for a review).Here we present the first example of a line of second order (continuous) black hole phase transitions which strongly resemble those which occur in condensed matter systems, e.g. the onset of superfluidity in liquid helium [13]. The phase transition occurs in a broad class of asymptotically AdS hairy black holes in Lovelock gravity. Lovelock gravity [14] is a geometric higher curvature theory of gravity and is the natural generalization of Einstein gravity to higher dimensions, giving rise to second order field equations for the metric. It provides an excellent testbed for examining the effects of higher curvature corrections which appear in, for example, the low energy effective action of string theory [15]. Recently, it has been shown [16] that a scalar field can be conformally coupled to the Lovelock terms and the resulting theory gives rise to analytic hairy black hole solutions [17] evading no-go results which had been reported previously [18]. These solutions have already been shown to possess interesting thermodynamic properties [19][20][21] (such as reentrant phase transitions), and are of inherent interest due to the role scalar hair plays in holography, e.g. in descriptions of holographic superconductors and superfluids [22,23].The model we consider consists of Lovelock gravity, a Maxwell field, and a ...

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mentioning

confidence: 94%

Superfluid Black Holes

Hennigar¹,

Mann²,

Tjoa³

2017

Phys. Rev. Lett.

190

131

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“…As a result, one can construct other than the 4 scalar tensor interactions existing in four dimensions. They have been discussed in the literature but they have not been investigated on the type of solutions or effects they may have [49] (see also [50][51][52][53][54] ). Indeed the "simplest" of terms can be obtained in a similar way as the John term in Fab 4.…”

Section: Introductionmentioning

confidence: 99%

Lovelock Galileons and black holes

Charmousis

Tsoukalas

2015

Phys. Rev. D

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We study a scalar-tensor version of Lovelock theory with a non trivial higher order galileon term involving the coupling of the Lovelock two tensor with derivatives of the scalar galileon field. For a static and spherically symmetric spacetime we extend the Boulware-Deser solution to the presence of a Galileon field. The hairy solution has a regular scalar field on the black hole event horizon and presents certain self tuning properties for the bulk cosmological constant and the Gauss-Bonnet coupling. The combined time and radial dependence of the galileon field permits its horizon regularity. Furthermore in order to investigate the effects of linear time dependence we find spherically symmetric solutions in 4 and 5 spacetime dimensions. They are shown to have singular horizons. Afar from the Schwarzschild radius and for weak higher dimensional couplings the solutions are perturbatively close to GR representing exteriors of GR like star solutions for scalar tensor theories.

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“…The mass and electric charged can be obtained by means of the Regge-Teitelboim approach [24], i.e. by finding the variation of the boundary term of the action that renders a well defined variational principle [25], and reading the mass and the electric charge from the terms multiplying the lapse function N (r) and the electric potential at infinity.…”

Section: Conserved Chargesmentioning

confidence: 99%

“…In particular, this implies that black holes with arbitrarily low temperature exist in AdS 5 . The theory also allows for the existence of phase transitions [24,34,35] involving hairy black holes. As mentioned in the introduction, this provides an interesting setup to study AdS/CFT.…”

Section: Jhep02(2017)010mentioning

confidence: 99%

Black holes in quasi-topological gravity and conformal couplings

Chernicoff

Fierro

Giribet

et al. 2017

J. High Energ. Phys.

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Lovelock theory of gravity provides a tractable model to investigate the effects of higher-curvature terms in the context of AdS/CFT. Yielding second order, ghost-free field equations, this theory represents a minimal setup in which higher-order gravitational couplings in asymptotically Anti-de Sitter (AdS) spaces, including black holes, can be solved analytically. This however has an obvious limitation as in dimensions lower than seven, the contribution from cubic or higher curvature terms is merely topological. Therefore, in order to go beyond quadratic order and study higher terms in AdS 5 analytically, one is compelled to look for other toy models. One such model is the so-called quasi-topological gravity, which, despite being a higher-derivative theory, provides a tractable setup with R 3 and R 4 terms. In this paper, we investigate AdS 5 black holes in quasi-topological gravity. We consider the theory conformally coupled to matter and in presence of Abelian gauge fields. We show that charged black holes in AdS 5 which, in addition, exhibit a backreaction of the matter fields on the geometry can be found explicitly in this theory. These solutions generalize the black hole solution of quasi-topological gravity and exist in a region of the parameter spaces consistent with the constraints coming from causality and other consistency conditions. They have finite conserved charges and exhibit non-trivial thermodynamical properties.

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Different phases of hairy black holes inAdS5space

Cited by 35 publications

References 23 publications

Superfluid Black Holes

Superfluid Black Holes

Lovelock Galileons and black holes

Black holes in quasi-topological gravity and conformal couplings

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