Thermodynamic properties of Bardeen black holes in dRGT massive gravity

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.

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TACHYON CONDENSATION AND OFF-SHELL GRAVITY/GAUGE DUALITY

International Journal of Modern Physics A ◽

10.1142/s0217751x07034957 ◽

2007 ◽

Vol 22 (01) ◽

pp. 41-65 ◽

Cited By ~ 2

Author(s):

YUN SOO MYUNG

Keyword(s):

Black Hole ◽

Free Energy ◽

Tachyon Condensation ◽

Schwarzschild Black Hole ◽

End Point ◽

Verlinde Formula ◽

Β Function ◽

Canonical Ensembles

We investigate quasilocal tachyon condensation by using gravity/gauge duality. In order to cure the IR divergence due to a tachyon, we introduce two regularization schemes: AdS space and a d = 10 Schwarzschild black hole in a cavity. These provide stable canonical ensembles and thus are good candidates for the end point of tachyon condensation. Introducing the Cardy–Verlinde formula, we establish the on-shell gravity/gauge duality. We propose that the stringy geometry resulting from the off-shell tachyon dynamics matches onto the off-shell AdS black hole, where "off-shell" means nonequilibrium configuration. The instability induced by condensation of a tachyon behaves like an off-shell black hole and evolves toward a large stable black hole. The off-shell free energy and its derivative (β-function) are used to show the off-shell gravity/gauge duality for the process of tachyon condensation. Further, d = 10 Schwarzschild black hole in a cavity is considered for the Hagedorn transition as a possible explanation of the tachyon condensation.

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The Free Energy for Rotating and Charged Black Holes and Banados, Teitelboim and Zanelli Black Holes

Zeitschrift für Naturforschung A ◽

10.1515/zna-2018-0210 ◽

2018 ◽

Vol 73 (11) ◽

pp. 1061-1073 ◽

Cited By ~ 1

Author(s):

N.A. Hussein ◽

D.A. Eisa ◽

T.A.S. Ibrahim

Keyword(s):

Black Holes ◽

Heat Capacity ◽

Black Hole ◽

Free Energy ◽

Quantum Correction ◽

Kerr Black Hole ◽

De Sitter ◽

Schwarzschild Black Hole ◽

Charged Black Holes ◽

Thermodynamic Variables

AbstractThis paper aims to obtain the thermodynamic variables (temperature, thermodynamic volume, angular velocity, electrostatic potential, and heat capacity) corresponding to the Schwarzschild black hole, Reissner-Nordstrom black hole, Kerr black hole and Kerr-Newman-Anti-de Sitter black hole. We also obtained the free energy for black holes by using three different methods. We obtained the equation of state for rotating Banados, Teitelboim and Zanelli black holes. Finally, we used the quantum correction of the partition function to obtain the heat capacity and entropy in the quantum sense.

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Einstein and Møller Energy-Momentum Complexes for a New Regular Black Hole Solution with a Nonlinear Electrodynamics Source

Advances in High Energy Physics ◽

10.1155/2016/9049308 ◽

2016 ◽

Vol 2016 ◽

pp. 1-9 ◽

Cited By ~ 7

Author(s):

Irina Radinschi ◽

Farook Rahaman ◽

Theophanes Grammenos ◽

Sayeedul Islam

Keyword(s):

Black Hole ◽

Black Hole Solution ◽

Relevant Literature ◽

Nonlinear Electrodynamics ◽

Radial Coordinate ◽

Schwarzschild Black Hole ◽

Regular Black Hole ◽

Momentum Distributions ◽

Energy And Momentum ◽

Gravitational Background

A study about the energy and momentum distributions of a new charged regular black hole solution with a nonlinear electrodynamics source is presented. The energy and momentum are calculated using the Einstein and Møller energy-momentum complexes. The results show that in both pseudotensorial prescriptions the expressions for the energy of the gravitational background depend on the massMand the chargeqof the black hole, an additional factorβcoming from the spacetime metric considered, and the radial coordinater, while in both prescriptions all the momenta vanish. Further, it is pointed out that in some limiting and particular cases the two complexes yield the same expression for the energy distribution as that obtained in the relevant literature for the Schwarzschild black hole solution.

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Quantum corrections to AdS black hole in massive gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x19502257 ◽

2019 ◽

Vol 34 (35) ◽

pp. 1950225 ◽

Cited By ~ 1

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.

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First-order corrected thermodynamic potentials characterizing BTZ black hole in massive gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x20500803 ◽

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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Einstein and Møller Energy-Momentum Distributions for the Static Regular Simpson–Visser Space-Time

Symmetry ◽

10.3390/sym13091622 ◽

2021 ◽

Vol 13 (9) ◽

pp. 1622

Author(s):

Irina Radinschi ◽

Theophanes Grammenos ◽

Gargee Chakraborty ◽

Surajit Chattopadhyay ◽

Marius Mihai Cazacu

Keyword(s):

Black Hole ◽

Energy Distribution ◽

Gravitational Lensing ◽

Black Hole Solution ◽

Radial Coordinate ◽

Spherically Symmetric ◽

Wormhole Solution ◽

Schwarzschild Black Hole ◽

Regular Black Hole ◽

Momentum Distributions

Energy-momentum localization for the four-dimensional static and spherically symmetric, regular Simpson–Visser black hole solution is studied by use of the Einstein and Møller energy-momentum complexes. According to the particular values of the parameter of the metric, the static Simpson–Visser solution can possibly describe the Schwarzschild black hole solution, a regular black hole solution with a one-way spacelike throat, a one-way wormhole solution with an extremal null throat, or a traversable wormhole solution of the Morris–Thorne type. In both prescriptions it is found that all the momenta vanish, and the energy distribution depends on the mass m, the radial coordinate r, and the parameter a of the Simpson–Visser metric. Several limiting cases of the results obtained are discussed, while the possibility of astrophysically relevant applications to gravitational lensing issues is pointed out.

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Thermodynamic stability of a regular black hole in nonlinear electrodynamics

Canadian Journal of Physics ◽

10.1139/cjp-2016-0014 ◽

2016 ◽

Vol 94 (4) ◽

pp. 425-430

Author(s):

L.A. López ◽

A. Eunice Matias

Keyword(s):

Black Hole ◽

Thermodynamic Stability ◽

Turning Point ◽

Canonical Ensemble ◽

Point Method ◽

Nonlinear Electrodynamics ◽

Regular Black Hole ◽

Maximum Value ◽

Canonical Ensembles ◽

Grand Canonical

By the turning point method, we study the thermodynamic stability of the a regular black hole in nonlinear electrodynamics. The microcanonical, canonical, and grand canonical ensembles are analyzed; the phase diagrams (m, βm) and (q, βq) (microcanonical ensemble) show that the regular black hole is stable at all the equilibrium sequence, but for the phase diagram (βm, –m) (canonical and grand canonical ensembles) the black hole shows a turning point. This means that the black hole is thermodynamically unstable. The temperature of the regular black hole has behavior that resembling Reissner–Nordstrom behavior: the temperature grows with the mass as in an ordinary thermodynamical system, but there is a maximum value of mass beyond which the temperature diminishes. The heat capacity displays a divergence with a change of sign that occurs precisely at the turning point obtained by the turning point method in the canonical ensemble.

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Entropy bound of horizons of some regular black holes

Modern Physics Letters A ◽

10.1142/s0217732320500704 ◽

2020 ◽

Vol 35 (10) ◽

pp. 2050070

Author(s):

Ujjal Debnath

Keyword(s):

Black Holes ◽

Heat Capacity ◽

Black Hole ◽

Specific Heat ◽

Surface Area ◽

Event Horizon ◽

Specific Heat Capacity ◽

Thermodynamic Quantities ◽

Event Horizons ◽

Regular Black Hole

We study the four-dimensional (i) modified Bardeen black hole, (ii) modified Hayward black hole, (iii) charged regular black hole and (iv) magnetically charged regular black hole. For modified Bardeen black hole and modified Hayward black hole, we found only one horizon (event horizon) and then we found some thermodynamic quantities like the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the event horizon. We here study the bounds of the above thermodynamic quantities for these black holes on the event horizon. Then, we examine the thermodynamics stability of the black holes with some conditions. Next, we studied the charged regular black hole and magnetically charged regular black hole and found two horizons (Cauchy and event horizons) of these black holes. Then, we found the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the Cauchy and event horizons. Then, we get some conditions for thermodynamic stability/instability of the black holes. We found the radius of the extremal horizon and Christodoulou–Ruffiini mass and then analyze the above thermodynamic quantities on the extremal horizon. We calculate the sum/subtraction, product, division and sum/subtraction of inverse of surface areas, entropies, irreducible masses, temperatures, Komar energies and specific heat capacities on both the horizons. From these, we found the bounds of the above quantities on the horizons.

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