Quasilocal formalism and thermodynamics of asymptotically flat black objects

Astefanesei, Dumitru; Mann, Robert B.; Rodríguez, María Jesús Aira; Stelea, Cristian

doi:10.1088/0264-9381/27/16/165004

Cited by 32 publications

(37 citation statements)

References 93 publications

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“…For this kind of solutions, a cosmological scenario has been provided in [52], where φ ∞ does vary and so the scalar charge appears in the first law of thermodynamics. The problem with this modified first law of thermodynamics is that the dilaton charge, not being protected by a gauge symmetry, is not a conserved charge [53,54]. This charge is non-localized, exists entirely outside the horizon and usually corresponds to a secondary hair [52,53].…”

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“…The problem with this modified first law of thermodynamics is that the dilaton charge, not being protected by a gauge symmetry, is not a conserved charge [53,54]. This charge is non-localized, exists entirely outside the horizon and usually corresponds to a secondary hair [52,53]. Also, in the AdS spacetimes, scalar charges are not compatible with AdS/CFT since no such charge exist in dual CFT.…”

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confidence: 99%

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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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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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“…Recently, the Myers-Perry black hole [26] has been of the particular interest due to its rich thermodynamics [27][28][29][30][31][32][33]. This black hole is a direct generalization of the Kerr black hole in higher dimensions with rotation in more than one plane.…”

Section: Jhep04(2015)115mentioning

confidence: 99%

Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry

Mansoori

Mirza

Fazel

2015

J. High Energ. Phys.

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Abstract:As an extension to our earlier work [1], we employ the Nambu brackets to prove that the divergences of heat capacities correspond to their counterparts in thermodynamic geometry. We also obtain a simple representation for the conformal transformations that connect different thermodynamics metrics to each other. Using our bracket approach, we obtain interesting exact relations between the Hessian matrix with any number of parameters and specific heat capacities. Finally, we employ this approach to investigate some thermodynamic properties of the Meyers-Perry black holes with three spins.

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“…Subsequently, Hawking has shown that the black hole has thermal radiation through a quantum field theoretical analysis [2] and studied the thermodynamic phase transition [3]. In particular, the thermodynamics of black holes has been also studied in a cavity to get well-defined canonical ensembles [4][5][6][7][8][9][10][11][12]. In the quasilocal thermodynamics of a black hole, the thermodynamical quantities such as the energy, the temperature, and so on, are related to the size of cavity, whereas the entropy is not since the entropy can be regarded as a conserved Noether charge [13].…”

Section: Introductionmentioning

confidence: 99%

Local thermodynamics of KS black hole

2013

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We study the thermodynamics of the KS black hole which is an asymptotically flat solution of the HL gravity. In particular, we introduce a cavity to describe the thermodynamics at a finite isothermal surface on general ground and to get a well-defined thermodynamics. We show that there exists a locally stable small black hole which tunnels to the hot flat space below the critical temperature and to the large black hole above the critical temperature. Moreover, it turns out that the remnant decays into the vacuum through a quantum tunneling.

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Quasilocal formalism and thermodynamics of asymptotically flat black objects

Cited by 32 publications

References 93 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

Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry

Local thermodynamics of KS black hole

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