Quantum fluctuations of a BTZ black hole in massive gravity

2020 ◽

Vol 35 (18) ◽

pp. 2050080

Author(s):

Nadeem-ul-islam ◽

Prince A. Ganai

Keyword(s):

Black Hole ◽

Black Hole Solution ◽

Quantum Fluctuations ◽

Massive Gravity ◽

Leading Order ◽

Btz Black Hole ◽

Horizon Radius ◽

First Order ◽

Thermodynamic Potentials ◽

Dimensional Black Hole

In this paper, we explore the effect of quantum fluctuations on the thermodynamic potentials, characterizing the (2[Formula: see text]+[Formula: see text]1)-dimensional AdS black hole with the negative cosmological constant in massive gravity. The (2[Formula: see text]+[Formula: see text]1)-dimensional black hole solution was discovered by three pioneer scientists, Banados, Teitelboim, and Zanelli in 1992 and hence is named as BTZ black hole.[Formula: see text] First, we present the brief idea of the BTZ black hole solution in massive gravity and then estimate the leading order corrections to thermodynamic potentials characterizing BTZ black hole in massive gravity. The qualitative analysis is done by plotting the corrected thermodynamic potentials against the event horizon radius for distinct values of the correction parameter. The correction parameter [Formula: see text] measures the strength of quantum fluctuations.

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Phase Transitions of the BTZ Black Hole in New Massive Gravity

Advances in High Energy Physics ◽

10.1155/2015/478273 ◽

2015 ◽

Vol 2015 ◽

pp. 1-6 ◽

Cited By ~ 8

Author(s):

Yun Soo Myung

Keyword(s):

Phase Transition ◽

Black Hole ◽

Phase Transitions ◽

Fourth Order ◽

Mass Parameter ◽

Massive Gravity ◽

Curvature Radius ◽

Btz Black Hole

We investigate thermodynamics of the BTZ black hole in new massive gravity explicitly. Form2l2>1/2withm2being the mass parameter of fourth-order terms andl2AdS3curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. Form2l2<1/2, however, this transition unlikely occurs but a phase transition between the BTZ black hole and the massless BTZ black hole is possible to occur. We may call the latter the inverse Hawking-Page phase transition and this transition is favored in the new massive gravity.

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Gregory-Laflamme instability of the BTZ black hole in new massive gravity

Physical Review D ◽

10.1103/physrevd.88.124014 ◽

2013 ◽

Vol 88 (12) ◽

Cited By ~ 5

Author(s):

Taeyoon Moon ◽

Yun Soo Myung

Keyword(s):

Black Hole ◽

Massive Gravity ◽

Btz Black Hole

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Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity

Physical Review D ◽

10.1103/physrevd.86.064017 ◽

2012 ◽

Vol 86 (6) ◽

Cited By ~ 5

Author(s):

Yong-Wan Kim ◽

Yun Soo Myung ◽

Young-Jai Park

Keyword(s):

Black Hole ◽

Quasinormal Modes ◽

Massive Gravity ◽

Btz Black Hole

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Thermodynamic properties of modified hairy and BTZ black holes

International Journal of Modern Physics D ◽

10.1142/s0218271821500681 ◽

2021 ◽

pp. 2150068

Author(s):

Muhammad Yasir ◽

Kazuharu Bamba ◽

Abdul Jawad

Keyword(s):

Black Holes ◽

Black Hole ◽

Phase Transitions ◽

Equations Of State ◽

Massive Gravity ◽

Black Hole Thermodynamics ◽

Thermodynamic Quantities ◽

Btz Black Hole ◽

Yang Mills ◽

First Order

We consider the Hairy black hole of dimensionally continued gravity with power-Yang–Mills magnetic source and Lorentz symmetry violating Bañados, Teitelboim and Zanelli (BTZ) black hole in massive gravity. We utilize the general form of first law of black hole thermodynamics and compute different thermodynamic quantities. Keeping in mind the importance of negative cosmological constant [Formula: see text], we derive corresponding equations of state and discuss the phase transitions which is comparable with chemical Van der Waals fluid. We also find out the critical points and observe that system exhibits first-order small as well as large black holes phase transitions.

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Cosmological New Massive Gravity and Galilean Conformal Algebra in 2 Dimensions

Advances in High Energy Physics ◽

10.1155/2011/472718 ◽

2011 ◽

Vol 2011 ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

M. R. Setare ◽

V. Kamali

Keyword(s):

Black Hole ◽

Black Hole Solution ◽

Central Charge ◽

Massive Gravity ◽

Nonrelativistic Limit ◽

Conformal Algebra ◽

Btz Black Hole ◽

Entropy Formula ◽

Scaling Dimension

We consider the realization of 2-dimensional Galilean conformal algebra (GCA2) on the boundary of cosmological new massive gravity. At first, we consider the contracted BTZ black hole solution. We obtain entropy formula for the GCA2in terms of contracted scaling dimension Δ and central chargeC1. This entropy formula exactly matches with the nonrelativistic limit of Bekenstein-Hawking entropy of BTZ black hole. Then, we extend our study to the contracted warped AdS3black hole solution of CNMG. We obtain the entropy of dual GCA2in terms of central charges and finite temperatures,T1,T2. Again, this expression coincides with the nonrelativistic limit of Bekenstein-Hawking entropy formula of warped AdS3black hole.

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