Scalar charges and the first law of black hole thermodynamics

Astefanesei, Dumitru; Ballesteros, Romina; Choque, David; Rojas, Raúl

doi:10.1016/j.physletb.2018.05.005

Cited by 48 publications

(52 citation statements)

References 67 publications

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“…The problem with the drastic modification of the first law of (static) hairy black hole thermodynamics which contains the variation of φ ∞ has been considered. Following the idea of [63], where a boundary term for dilaton field was included in the action in the quasi-local formalism of mass, we considered the case that the effective action is also supplemented with a boundary term for dilaton. However, only the spherically symmetric solutions have been considered in [63].…”

Section: Resultsmentioning

confidence: 99%

“…Following the idea of [63], where a boundary term for dilaton field was included in the action in the quasi-local formalism of mass, we considered the case that the effective action is also supplemented with a boundary term for dilaton. However, only the spherically symmetric solutions have been considered in [63]. We applied a similar discussion inspired by the proposed boundary term variation of dilaton in [79], where with vanishing φ ∞ , the D and C coefficients in the asymptotic expansion of the scalar field were required to be functionally related for integrability of energy.…”

Section: Resultsmentioning

confidence: 99%

“…As mentioned in introduction, the nature of dilaton charge, which is not a locally conserved and gauge symmetry protected charge, criticizes this modified version of first law [53,54]. Here, motivated by [63], we consider the case that besides the gravitational surface term which leads to the quasi-local mass (90), the effective action is supplemented with a dilaton field boundary term. In Hamiltonian formalism where the variation of dilaton boundary term is given by [79] δQ…”

Section: Thermodynamic Properties Of the Topological Black Hole Solutmentioning

confidence: 99%

See 2 more Smart Citations

New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory

Naderi

Rezaei-Aghdam

2019

Eur. Phys. J. C

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We construct black hole solutions to the leading order of string effective action in five dimensions with the source given by dilaton and magnetically charged antisymmetric gauge B-field. Presence of the considered B-field leads to the unusual asymptotic behavior of the solutions which are neither asymptotically flat nor asymptotically (A)dS. We consider the three-dimensional space part to correspond to the Bianchi classes and so the horizons of these topological black hole solutions are modeled by seven homogeneous Thurstons geometries of E 3 , S 3 , H 3 , H 2 × E 1 , SL2R, nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature, entropy, dilaton charge, and magnetic potential, we show that the first law of black hole thermodynamics is satisfied by these quantities and the dilaton charge is not independent of mass and magnetic charge. Furthermore, for Bianchi type V , the T -dual black hole solution is obtained which carries no charge associated with B-field and the entropy turns to be invariant under the presented in [25,26], whose horizons are not compactificable and their described spacetimes are rotating black branes [27].Usually, the horizon geometries of topological black hole solutions are considered to be spherical, hyperbolic or flat. For the five-dimensional black hole solutions the situation can be more extensive. The geometries of three-dimensional homogeneous manifolds has been classified by Thurston into eight types [28], where in addition to three isotropic constant curvature cases of spherical S 3 , Hyperbolic H 3 , and Euclidean E 3 , there are five anisotropic alternative three-dimensional geometries of S 2 × R, H 2 × R, SL 2 R, solvegeometry, and nilgeometry. Admitting homogeneous metrics, these model geometries have close correspondence with the homogeneous geometries of Bianchi types and Kantowski-Sachs [29,30]. The Bianchi types are defined based on the simply-transitive three-dimensional Lie groups classification. Since the isometries of the Riemannian manifold form a Lie group, the Bianchi classification is widely used for studying the spatially homogeneous spacetimes in relativity and cosmology [31,32,33,34,35]. The spacetimes in these models are assumed to possess a symmetry, namely the spatial homogeneity [36]. Families of five-dimensional black hole solutions of gravity theories where the horizons are modeled by some of the Thurston 3-geometries have been presented in [37,38,39,40,41]. Also, extremal black branes whose geometries are classified by nine Bianchi types have been studied in [42].Recently, the black hole solutions in string theory have attracted an increasing interest [43,44,45,46,47,48,49]. Nevertheless, the effect of the magnetically charged B-field has not been discussed so much in previous works [7,6,8,9,10,11]. In this work, we are interested in five-dimensional black hole solutions in string theory including a dilaton field and a 3-form field strength tensor of B-field associated with a magnetic charge. The inclusion of B-field in this class wil...

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Thermodynamic Properties Of the Topological Black Hole Solutmentioning

confidence: 99%

See 1 more Smart Citation

New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory

Naderi

Rezaei-Aghdam

2019

Eur. Phys. J. C

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“…Scalar fields usually affect the thermodynamic description of black holes -see e.g. [39] -and it would be interesting to explore whether this could modify the conclusions of [23]. The string coupling constant and the curvature can be kept sufficiently small in the exterior region of the black hole for the cases we have considered, hence the low energy field theory description gives a good approximate description of the system.…”

Section: Discussionmentioning

confidence: 99%

On the extremality bound of stringy black holes

Cano

Ortı́n

Ramírez

2020

J. High Energ. Phys.

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A mild version of the weak gravity conjecture (WGC) states that extremal black holes have charge-to-mass ratio larger or equal than one when higher-curvature interactions are taken into account. Since these corrections become more relevant in the low-mass regime, this would allow the decay of extremal black holes in terms of energy and charge conservation. Evidence in this direction has been mainly given in the context of corrections to Einstein-Maxwell theory. Here we compute corrections to the charge-to-mass ratio of some dyonic extremal black holes explicitly embedded in the heterotic string effective theory. We find that modifications of the extremality bound depend on the solution considered, with the chargeto-mass ratio remaining unchanged or deviating positively from one. Additionally, we observe that the introduction of the higher-curvature terms increases the Wald entropy in all cases considered, whose variation does not seem to be correlated with the charge-to-mass ratio, contrary to the situation in Einstein-Maxwell theory.

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“…(7) is simply from the first law of black hole thermodynamics. Since the dilaton is a secondary hair, the dilaton charge [75] is a "redundant parameter" [76], which does not appear in the first law (see, however, related discussions [77,78]). It therefore suffices to consider the evolution of the primary hairs M and Q (see also [64]).…”

Section: The Evolution Of Hawking Evaporating Ghs Black Holesmentioning

confidence: 99%

Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

Ong

Yao

2019

J. High Energ. Phys.

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Hiscock and Weems showed that under Hawking evaporation, an isolated asymptotically flat Reissner-Nordström (RN) black hole evolves in a surprising manner: if it starts with a relatively small value of charge-to-mass ratio Q/M , then said value will temporarily increase along its evolutionary path, before finally decreases towards zero. This contrasts with highly charged ones that simply radiate away its charge steadily. The combination of these two effects is the cosmic censor at work: there exists an attractor that flows towards the Schwazschild limit, which ensures that extremalityand hence naked singularity -can never be reached under Hawking evaporation. We apply the scheme of Hiscock and Weems to model the evaporation of an asymptotically flat dilatonic charge black hole known as the Garfinkle-Horowitz-Strominger (GHS) black hole. We found that upholding the cosmic censorship requires us to modify the charged particle production rate, which remarkably agrees with the expression obtained independently via direct computation of charged particle production rate on curved spacetime background. This not only strengthens the case for cosmic censorship, but also provides an example in which cosmic censorship can be a useful principle to deduce other physics. We also found that the attractor behavior is not necessarily related to the specific heat, contrary to the claim by Hiscock and Weems.

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Scalar charges and the first law of black hole thermodynamics

Cited by 48 publications

References 67 publications

New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory

New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory

On the extremality bound of stringy black holes

Charged particle production rate from cosmic censorship in dilaton black hole spacetimes

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