scholarly journals Hawking-Page phase transition in BTZ black hole revisited

2013 ◽  
Vol 2013 (3) ◽  
Author(s):  
Myungseok Eune ◽  
Wontae Kim ◽  
Sang-Heon Yi
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Btz Black 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.

scholarly journals Phase transition between the BTZ black hole and AdS space

2006 ◽  
Vol 638 (5-6) ◽  
pp. 515-518 ◽  
Author(s):  
Yun Soo Myung
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Btz Black Hole

GUP effect on thermodynamical properties of the noncommutative rotating BTZ black hole

2020 ◽  
Vol 35 (25) ◽  
pp. 2050208
Author(s):  
Ganim Gecim
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Quantum Gravity ◽  
Vector Boson ◽  
Scalar Particle ◽  
Hawking Temperature ◽  
Stability Conditions ◽  
Btz Black Hole ◽  
Tunneling Process ◽  
Quantum Gravity Effect

In this paper, we investigated the quantum gravity effects on the thermal properties of the [Formula: see text]-dimensional noncommutative rotating Banados–Teitelboim–Zanelli (NCR-BTZ) black hole in the context of quantum tunneling of relativistic particles. These include Hawking temperature, the thermally local and global stability conditions, and the phase transitions. For this purpose, in the framework of the generalized uncertainty principle (GUP), we used the Hamilton–Jacobi approach to calculate the tunneling probability for a massive scalar, Dirac, and vector boson particles from the [Formula: see text]-dimensional NCR-BTZ black hole. We found that the modified Hawking temperature of the black hole depends on the black hole properties, on the tunneling particle properties, on the noncommutative parameter, and on the GUP parameter. Using the modified Hawking temperature, we calculated the modified heat capacity, and then we discussed the local thermodynamic stability conditions for the black hole. The black hole may undergo a first-type phase transition to become stable under the scalar particle tunneling whereas, it might undergoes both the first and the second-type phase transitions under the both Dirac and vector boson particles tunneling process. Furthermore, we calculated the Gibbs free energy of the black hole, and we investigated the global stability conditions. We observed that Hawking–Page phase transition may occur in the presence of the quantum gravity effect under the tunneling process of scalar, Dirac, and vector boson particles. In the context of quantum gravity effect, we also derived the modified equation of state to investigate the critical behavior of the commutative rotating BTZ black hole. Finally, we shown that Van der Waals-like phase transition may occur in the context of tunneling process of both Dirac and vector boson particle, whereas it may not occur for the tunneling of scalar particle.

Investigation of phase transition of BTZ black hole with Sharma–Mittal entropy approaches

2019 ◽  
Vol 34 (30) ◽  
pp. 1950182 ◽  
Author(s):  
J. Sadeghi ◽  
M. Rostami ◽  
M. R. Alipour
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Space ◽  
Local Stability ◽  
Thermodynamic Quantities ◽  
Extended Phase Space ◽  
Btz Black Hole ◽  
Extended Phase ◽  
Corrected Entropy ◽  
Global And Local

In this paper, we use Bekenstein entropy and study thermodynamic quantities and phase transition for the charged BTZ black hole. Then, we apply the Sharma–Mittal (SM) entropy and calculate some thermodynamic quantities. Here, we note that in case of [Formula: see text], the SM entropy is same as the known corrected entropy. Also, we investigate [Formula: see text] critically and phase transition of this corrected black hole and show that the critical points of corrected black hole are similar to Van der Waals fluid. We compare phase transition of corrected and uncorrected entropies to each other. Finally, we study the effect of SM entropy on the global and local stability in the extended phase space. Here, we also compare the obtained results of corrected entropy with respect to uncorrected entropy.

scholarly journals Warped information and entanglement islands in AdS/WCFT

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Elena Caceres ◽  
Arnab Kundu ◽  
Ayan K. Patra ◽  
Sanjit Shashi
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Hawking Radiation ◽  
Degrees Of Freedom ◽  
Thermal Bath ◽  
Late Time ◽  
Inverse Temperature ◽  
Btz Black Hole ◽  
Black Hole Interior ◽  
Black Hole Information

Abstract We use the notion of double holography to study Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, but in the form of warped CFT2 degrees of freedom. In agreement with the literature, we find entanglement islands and a phase transition in the entanglement surface, but our results differ significantly from work in AdS/CFT in three major ways: (1) the late-time entropy decreases in time, (2) island degrees of freedom exist at all times, not just at late times, with the phase transition changing whether or not these degrees of freedom include the black hole interior, and (3) the physics involves a field-theoretic IR divergence emerging when the boundary interval is too big relative to the black hole’s inverse temperature. This behavior in the entropy appears to be consistent with the non-unitarity of holographic warped CFT2 and demonstrates that the islands are not a phenomenon restricted to black hole information in unitary setups.

scholarly journals Null geodesics and thermodynamic phase transition of four-dimensional Gauss–Bonnet AdS black hole

2021 ◽  
pp. 168461
Author(s):  
Kartheek Hegde ◽  
Naveena Kumara A. ◽  
Ahmed Rizwan C.L. ◽  
Md Sabir Ali ◽  
Ajith K.M.
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Null Geodesics ◽  
Thermodynamic Phase

scholarly journals Normal-mode analysis for scalar fields in BTZ black-hole background

2009 ◽  
Vol 60 (2) ◽  
pp. 169-173 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Scalar Fields ◽  
Mode Analysis ◽  
Btz Black Hole ◽  
Black Hole Background

scholarly journals Classical integrability in the BTZ black hole

2011 ◽  
Vol 2011 (8) ◽  
Author(s):  
Justin R. David ◽  
Abhishake Sadhukhan
Keyword(s):  
Black Hole ◽  
Btz Black Hole
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