On the thermodynamic geometry of BTZ black holes

Sarkar, Tapobrata; Sengupta, Gautam; Tiwari, Bhupendra Nath

doi:10.1088/1126-6708/2006/11/015

Cited by 147 publications

(151 citation statements)

References 26 publications

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“…The Weinhold and Ruppeiner geometries have been analyzed in a number of black hole families to study phase space, critical behavior, and stability properties [12][13][14][15][16][17][18][19][20][21][22]. In some particular cases, it was found that Weinhold and Ruppeiner geometries carry information about the phase transitions structure.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry of charged rotating BTZ black holes

et al. 2011

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We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics (GTD). Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in GTD allows one to describe the CR-BTZ black holes and their limiting cases in a consistent and invariant manner.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry of charged rotating BTZ black holes

et al. 2011

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“…In 1992, Bañados, Teitelboim and Zanelli (BTZ) came with surprising result that three dimensional gravity with a negative cosmological constant has a black hole solution [59]. BTZ black holes provide a good understanding of certain central issues like black hole thermodynamics [60][61][62], quantum gravity, string and gauge theory and more importantly the AdS/CFT conjecture [63,64]. Furthermore, BTZ solutions perform a crucial role in improving our perception of gravitational interaction in low dimensional spacetime [65].…”

Section: Introductionmentioning

confidence: 99%

Charged BTZ black holes in the context of massive gravity’s rainbow

et al. 2017

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BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, threedimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the AdS3/CF T2. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.

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“…Three dimensional solutions of black holes and magnetic solutions have been studied by many authors [50][51][52][53][54][55][87][88][89][90][91][92][93]. This tremendous interest in these solutions is due to fact that three dimensional solutions contribute fundamentally to conceptual issues of astrophysical subjects such as black holes thermodynamics [94][95][96]. In addition, in context of quantum gravity and string theory, also due to AdS/CFT correspondence, these theories play an undeniable important role in describing different phenomena specially in low dimensional spacetime [97][98][99].…”

Section: Introductionmentioning

confidence: 99%

Three dimensional nonlinear magnetic AdS solutions through topological defects

et al. 2015

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Inspired by large applications of topological defects in describing different phenomena in physics, and considering the importance of three dimensional solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de Sitter solutions of nonlinear electromagnetic fields. We take into account three classes of nonlinear electrodynamic models; first two classes are the well-known BornInfeld like models including logarithmic and exponential forms and third class is known as the power Maxwell invariant nonlinear electrodynamics. We investigate the effects of these nonlinear sources on three dimensional magnetic solutions. We show that these asymptotical AdS solutions do not have any curvature singularity and horizon. We also generalize the static metric to the case of rotating solutions and find that the value of the electric charge depends on the rotation parameter. Finally, we consider the quadratic Maxwell invariant as a correction of Maxwell theory and we investigate the effects of nonlinearity as a correction. We study the behavior of the deficit angle in presence of these theories of nonlinearity and compare them with each other. We also show that some cases with negative deficit angle exists which are representing objects with different geometrical structure. We also show that in case of the static only magnetic field exists whereas by boosting the metric to rotating one, electric field appears too.

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On the thermodynamic geometry of BTZ black holes

Cited by 147 publications

References 26 publications

Thermodynamic geometry of charged rotating BTZ black holes

Thermodynamic geometry of charged rotating BTZ black holes

Charged BTZ black holes in the context of massive gravity’s rainbow

Three dimensional nonlinear magnetic AdS solutions through topological defects

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