Gravitational Aharonov–Bohm effect due to noncommutative BTZ black hole

Anacleto, M. A.; Brito, F. A.; Passos, E.

doi:10.1016/j.physletb.2015.02.056

Cited by 37 publications

(24 citation statements)

References 62 publications

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“…By using the Hamiltonian approach and/or the counterterm method, one can find the total mass of the solutions as 16) in which by evaluating metric function on the horizon (f (r = r + ) = 0), we obtain M = −Λr 2 + + m 2 r + cc 1 − 2q 2 ln r + l . The electric potential, U , is defined through the gauge potential in the following form…”

Section: Thermodynamicsmentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

103

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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Section: Thermodynamicsmentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

103

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“…The partial wave approach has been widely applied in the black hole scattering process by considering various types of metrics . This approach has also been applied to exploit scalar wave scattering by acoustic black holes [44][45][46][47][48][49][50][51] and also in [52] the differential cross section of a noncommutative BTZ black hole has been obtained. In our analysis we have initially calculated the phase shift analytically and then computed the differential cross section and the absorption.…”

Section: Introductionmentioning

confidence: 99%

Absorption and scattering of a noncommutative black hole

et al. 2020

Self Cite

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In this paper we aim to investigate the process of massless scalar wave scattering due to a self-dual black hole through the partial wave method. We calculate the phase shift analytically at the low energy limit and we show that the dominant term of the differential cross section at the small angle limit is modified by the presence of parameters related to the polymeric function and minimum area of a self-dual black hole. We also find that the result for the absorption cross section is given by the event horizon area of the self-dual black hole at the low frequency limit. We also show that, contrarily to the case of a Schwarzschild black hole, the differential scattering/absorption cross section of a self-dual black hole is nonzero at the zero mass limit. In addition, we verify these results by numerically solving the radial equation for arbitrary frequencies.

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“…Due to the fact that these solutions being asymptotically AdS, there has been various studies regarding AdS/CFT correspondence [21][22][23] . In addition, the noncommutative geometry in three dimensions has been of interest recently [24][25][26][27][28][29] and it was shown that gravitational Aharonov-Bohm effect could be originated from noncommutative BTZ black holes [30]. Moreover, in order to obtain quantum aspect of three dimensional gravity, entanglement and quantum loop entropy of the BTZ black holes have been investigated in literatures [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

2015

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Motivated by the wide applications of thermal stability and phase transition, we investigate thermodynamic properties of charged BTZ black holes. We apply the standard method to calculate the heat capacity and the Hessian matrix and find that thermal stability of charged BTZ solutions depends on the choice of ensemble. To overcome this problem, we take into account cosmological constant as a thermodynamical variable. By this modification, we show that the ensemble dependency is eliminated and thermal stability conditions are the same in both ensembles. Then, we generalize our solutions to the case of nonlinear electrodynamics. We show how nonlinear matter field modifies the geometrical behavior of the metric function. We also study phase transition and thermal stability of these black holes in context of both canonical and grand canonical ensembles. We show that by considering the cosmological constant as a thermodynamical variable and modifying the Hessian matrix, the ensemble dependency of thermal stability will be eliminated.

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Gravitational Aharonov–Bohm effect due to noncommutative BTZ black hole

Cited by 37 publications

References 62 publications

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Absorption and scattering of a noncommutative black hole

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

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