Statistical entropy of a BTZ black hole in topologically massive gravity

2013 ◽  
Vol 88 (12) ◽  
Author(s):  
Baocheng Zhang
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole ◽  
Topologically Massive Gravity

scholarly journals Phase Transitions of the BTZ Black Hole in New Massive Gravity

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
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.

scholarly journals Mass spectrum and statistical entropy of the BTZ black hole from canonical quantum gravity

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
Cenalo Vaz ◽  
Sashideep Gutti ◽  
Claus Kiefer ◽  
T. P. Singh ◽  
L. C. R. Wijewardhana
Keyword(s):  
Black Hole ◽  
Mass Spectrum ◽  
Quantum Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole ◽  
Canonical Quantum Gravity ◽  
Canonical Quantum

scholarly journals Quantum fluctuations of a BTZ black hole in massive gravity

2017 ◽  
Vol 773 ◽  
pp. 325-331 ◽  
Author(s):  
Behnam Pourhassan ◽  
Mir Faizal ◽  
Zaid Zaz ◽  
Anha Bhat
Keyword(s):  
Black Hole ◽  
Quantum Fluctuations ◽  
Massive Gravity ◽  
Btz Black Hole

Thermodynamic properties of modified hairy and BTZ black holes

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.

scholarly journals Cosmological New Massive Gravity and Galilean Conformal Algebra in 2 Dimensions

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
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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