Thermodynamic stability of a regular black hole in nonlinear electrodynamics

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.

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.

scholarly journals Charged black hole in a grand canonical ensemble

1990 ◽  
Vol 42 (10) ◽  
pp. 3376-3385 ◽  
Author(s):  
Harry W. Braden ◽  
J. David Brown ◽  
Bernard F. Whiting ◽  
James W. York
Keyword(s):  
Black Hole ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Charged Black Hole ◽  
Grand Canonical

scholarly journals Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
I. Radinschi ◽  
F. Rahaman ◽  
Th. Grammenos ◽  
A. Spanou ◽  
Sayeedul Islam
Keyword(s):  
Black Hole ◽  
Positive Integer ◽  
Energy Distribution ◽  
Black Hole Solution ◽  
Mass Function ◽  
Nonlinear Electrodynamics ◽  
Radial Coordinate ◽  
Regular Black Hole ◽  
Limiting Behavior ◽  
Special Case

A study about the energy momentum of a new four-dimensional spherically symmetric, static and charged, regular black hole solution developed in the context of general relativity coupled to nonlinear electrodynamics is presented. Asymptotically, this new black hole solution behaves as the Reissner-Nordström solution only for the particular valueμ=4, whereμis a positive integer parameter appearing in the mass function of the solution. The calculations are performed by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy momentum complexes. In all the aforementioned prescriptions, the expressions for the energy of the gravitating system considered depend on the massMof the black hole, its chargeq, a positive integerα, and the radial coordinater. In all these pseudotensorial prescriptions, the momenta are found to vanish, while the Landau-Lifshitz and Weinberg prescriptions give the same result for the energy distribution. In addition, the limiting behavior of the energy for the casesr→∞,r→0, andq=0is studied. The special caseμ=4andα=3is also examined. We conclude that the Einstein and Møller energy momentum complexes can be considered as the most reliable tools for the study of the energy momentum localization of a gravitating system.

scholarly journals Dynamics of Particles Around a Regular Black Hole with Nonlinear Electrodynamics

2016 ◽  
Vol 66 (5) ◽  
pp. 509-516 ◽  
Author(s):  
Abdul Jawad ◽  
Farhad Ali ◽  
Mubasher Jamil ◽  
Ujjal Debnath
Keyword(s):  
Black Hole ◽  
Nonlinear Electrodynamics ◽  
Regular Black Hole ◽  
Dynamics Of Particles

scholarly journals The thermodynamics of a Kerr–Newman–de Sitter black hole

2003 ◽  
Vol 81 (12) ◽  
pp. 1363-1375 ◽  
Author(s):  
M H Dehghani ◽  
H KhajehAzad
Keyword(s):  
Black Hole ◽  
Stability Analysis ◽  
Hessian Matrix ◽  
Shift Factor ◽  
De Sitter ◽  
Complete Set ◽  
Thermodynamic Variables ◽  
Renormalization Method ◽  
Canonical Ensembles ◽  
Grand Canonical

We compute the conserved quantities of the four-dimensional Kerr–Newman–de Sitter (KNdS) black hole through the use of the counterterm renormalization method, and obtain a generalized Smarr formula for the mass as a function of the entropy, the angular momentum, and the electric charge. The first law of thermodynamics associated to the cosmological horizon of KNdS is also investigated. Using the minimal number of intrinsic boundary counterterms, we consider the quasilocal thermodynamics of an asymptotic de Sitter–Reissner–Nordstrom black hole, and find that the temperature is equal to the product of the surface gravity (divided by 2π) and the Tolman red-shift factor. We also perform a quasilocal stability analysis by computing the determinant of Hessian matrix of the energy with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles and obtain a complete set of phase diagrams. We then turn to the quasilocal thermodynamics of four-dimensional Kerr–Newman–de Sitter black hole for virtually all possible values of the mass, the rotation, and the charge parameters that leave the quasilocal boundary inside the cosmological event horizon, and perform a quasilocal stability analysis of KNdS black hole.PACS Nos.:04.70.Dy, 04.62.+v, 04.60.–m

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