Three dimensional black holes and cylindrical general relativity

Lemos, José P. S.

doi:10.1016/0370-2693(95)00533-q

Cited by 438 publications

(517 citation statements)

References 21 publications

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“…We note in passing that the Lemos string [19] has the thermodynamic properties of a perfect gas, and the Schwarzschild AdS solution has the thermodynamics of a non interacting ball with size parameter a = (1 + c ℓ )(d − 3)/(π(d − 2)). The interaction between the gas particles is accommodated by a linear term in the metric function.…”

Section: Jhep02(2015)070mentioning

confidence: 97%

Van Der Waals black holes in d dimensions

Delsate

Mann

2015

J. High Energ. Phys.

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We generalize the recent solution proposed by Rajagopal et al. to arbitrary number of dimensions and horizon topologies. We comment on the regime of validity of these solution. Among our main results, we argue that the Van Der Waals (VdW) black hole (BH) metric is to be interpreted as a near horizon metric. This is supported by inspecting the energy conditions. We analyze the limiting cases of a perfect fluid, interacting points and non interacting balls gas equation of state and map them to known black holes. Finally, we provide a case study by comparing the Reissner-Nordström and VdW BH close to the horizon and show that they are qualitatively similar for some range of the horizon radius.

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Section: Jhep02(2015)070mentioning

confidence: 97%

Van Der Waals black holes in d dimensions

Delsate

Mann

2015

J. High Energ. Phys.

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“…The purpose of this note is to study some properties of the holographic complexity, as defined by the ansatz (1.1), in such degenerate systems. In particular, we shall consider the concrete case of thermofield double states for pairs of CFTs on hyperboloids, as defined by AdS hyperbolic black holes [24][25][26][27][28][29][30][31][32][33]. We begin in section 2 with a review of the relevant geometries and we continue in section 3 with the approximate calculation of the complexity.…”

Section: Jhep11(2015)181mentioning

confidence: 99%

Holographic complexity of cold hyperbolic black holes

Barbón¹,

Martín-García²

2015

J. High Energ. Phys.

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AdS black holes with hyperbolic horizons provide strong-coupling descriptions of thermal CFT states on hyperboloids. The low-temperature limit of these systems is peculiar. In this note we show that, in addition to a large ground state degeneracy, these states also have an anomalously large holographic complexity, scaling logarithmically with the temperature. We speculate on whether this fact generalizes to other systems whose extreme infrared regime is formally controlled by Conformal Quantum Mechanics, such as various instances of near-extremal charged black holes.

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“…To define mass and angular momentum for the black hole solutions (10)- (11) we apply the formalism of Regge and Teitelboim [20] (see also [14,17]). …”

Section: Stationary Black Hole Solutionsmentioning

confidence: 99%

Stationary black holes in a generalized three-dimensional theory of gravity

Sá

Lemos

1998

Physics Letters B

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We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and three-dimensional String Theory. Stationary black hole solutions are generated from the static ones using a simple coordinate transformation. The stationary black holes solutions thus obtained are locally equivalent to the corresponding static ones, but globally distinct. The mass and angular momentum of the stationary black hole solutions are computed using an extension of the Regge and Teitelboim formalism. The causal structure of the black holes is described.

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Three dimensional black holes and cylindrical general relativity

Cited by 438 publications

References 21 publications

Van Der Waals black holes in d dimensions

Van Der Waals black holes in d dimensions

Holographic complexity of cold hyperbolic black holes

Stationary black holes in a generalized three-dimensional theory of gravity

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