First-order corrected thermodynamic potentials characterizing 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.

scholarly journals Thermal fluctuations to the thermodynamics of a non-rotating BTZ black hole

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Nadeem-ul-islam ◽  
Prince A Ganai ◽  
Sudhaker Upadhyay
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Isothermal Compressibility ◽  
Equations Of State ◽  
Thermal Fluctuations ◽  
Thermodynamic Quantities ◽  
Leading Order ◽  
Btz Black Hole ◽  
Horizon Radius ◽  
First Order

Abstract We discuss the effect of small statistical thermal fluctuations around the equilibrium of the thermodynamics of a small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the thermodynamical equations of state, namely entropy, free energy, internal energy, pressure, enthalpy, Gibbs free energy, and specific heat, quantitatively. In order to analyze the effects of perturbations on the thermodynamics, we plot various graphs and compare corrected and non-corrected thermodynamic quantities with respect to the event horizon radius of a non-rotating BTZ black hole. We also derive the first-order corrections to isothermal compressibility.

Quantum corrections to AdS black hole in massive gravity

2019 ◽  
Vol 34 (35) ◽  
pp. 1950225 ◽  
Author(s):  
Nadeem-ul-islam ◽  
Prince A. Ganai
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Event Horizon ◽  
Massive Gravity ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Leading Order ◽  
Horizon Radius ◽  
First Order ◽  
Qualitative Picture

In this paper, we investigate the effect of quantum corrections on the thermodynamics of AdS black hole in massive gravity. We compute the leading order corrections to the entropy of AdS black hole and then plot the entropy as a function of event horizon radius so as to have a comparative analysis between the corrected and the uncorrected entropy densities. Furthermore, we also evaluate the first-order leading corrections to other thermodynamic quantities like free energy, internal energy, pressure, enthalpy, and Gibbs free energy and later plot these quantities against event horizon radius for different values of correction parameter in order to have a qualitative picture of the effect that quantum corrections lead to the thermodynamics of massive AdS black hole.

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

scholarly journals Thermodynamic properties of Bardeen black holes in dRGT massive gravity

2021 ◽  
Author(s):  
R P Singh ◽  
B K Singh ◽  
B R K Gupta ◽  
S Sachan
Keyword(s):  
Heat Capacity ◽  
Black Hole ◽  
Free Energy ◽  
Black Hole Solution ◽  
Massive Gravity ◽  
Schwarzschild Black Hole ◽  
Regular Black Hole ◽  
Horizon Radius ◽  
Canonical Ensembles ◽  
Grand Canonical

The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is the modification of the Schwarzschild black hole. We present the Bardeen black hole solution in presence of the dRGT massive gravity, which is regular everywhere in the presence of a nonlinear source. The obtained solution interpolates with the Bardeen black hole in the absence of massive gravity parameter and the Schwarzschild black hole in the limit of magnetic charge g=0. We investigate the thermodynamical quantities viz. mass (M), temperature (T), entropy (S) and free energy (F) in terms of horizon radius for both canonical and grand canonical ensembles. We check the local and global stability of the obtained solution by studying the heat capacity and free energy. The heat capacity flips the sign at r = r<sub>c</sub>. The black hole is thermodynamically stable with positive heat capacity C>0 for i.e., globally preferred with negative free energy F < 0. In addition, we also study the phase structure of the obtained solution in both ensembles.

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.

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.

Extended GUP corrected thermodynamics, shadow radius and quasinormal modes of charged AdS black holes in Gauss–Bonnet gravity

2021 ◽  
pp. 2150137
Author(s):  
Shahid Chaudhary ◽  
Abdul Jawad ◽  
Kimet Jusufi ◽  
Muhammad Yasir
Keyword(s):  
Black Hole ◽  
Generalized Uncertainty Principle ◽  
Quasinormal Modes ◽  
Nonlinear Electrodynamics ◽  
Horizon Radius ◽  
Bonnet Gravity ◽  
Ads Black Holes ◽  
Dimensional Black Hole ◽  
Relationship Of ◽  
The Relationship

This paper explores the influence of special type of higher order generalized uncertainty principle on the thermodynamics of five-dimensional black hole in Einstein–Gauss–Bonnet gravity coupled to nonlinear electrodynamics. We examine the corrected thermodynamical properties of the black hole with some interesting limiting cases [Formula: see text] and [Formula: see text] and compared our results with usual thermodynamical relations. We observe that the influence of GUP correction stabilizes the BH and BH solution remains physical throughout the region of horizon radius. In this framework, we also uncover the relationship of shadow radius and quasinormal modes of the mentioned black hole. We conclude that shadow radius of our considered black hole is a perfect circle and it decreases with increasing values of charge and Gauss–Bonnet parameter. We also verify the inverse relation between the quasinormal modes frequencies and shadow radius, i.e. quasinormal modes should increase with increasing values of Gauss–Bonnet parameter and electric charge.

scholarly journals ON KALUZA–KLEIN SPACE–TIME IN EINSTEIN–GAUSS–BONNET GRAVITY

2009 ◽  
Vol 18 (04) ◽  
pp. 599-611 ◽  
Author(s):  
ALFRED MOLINA ◽  
NARESH DADHICH
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Dimensional Space ◽  
Space Time ◽  
Two Dimensional ◽  
Bonnet Gravity ◽  
Space Of Constant Curvature ◽  
Dimensional Black Hole ◽  
Dimensional Space Time ◽  
Kaluza Klein

By considering the product of the usual four-dimensional space–time with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein–Gauss–Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However, there exists no Kerr analog in this setting. To get the physical feel of the four-dimensional black hole space–times, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

scholarly journals Black Hole Solution of Einstein-Born-Infeld-Yang-Mills Theory

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Kun Meng ◽  
Da-Bao Yang ◽  
Zhan-Ning Hu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Space ◽  
Cosmological Constant ◽  
Black Hole Solution ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
First Law Of Thermodynamics ◽  
Dimensional Black Hole

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed; several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the first law of thermodynamics is checked to be satisfied. Identifying the cosmological constant as pressure of the system, the phase transition behaviors of the black hole in the extended phase space are studied.

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