scholarly journals No superradiance for the scalar field in the BTZ black hole with reflexive boundary conditions

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
L. Ortíz
2017 ◽  
Vol 32 (10) ◽  
pp. 1750064 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
Z. Amirabi ◽  
M. Halilsoy

We present an infinite class of one-parameter scalar field extensions to the Bañados, Teitelboim and Zanelli (BTZ) black hole in 2 + 1 dimensions. By virtue of the scalar charge, the thin-shell wormhole supported by a linear fluid at the throat becomes stable against linear perturbations. More interestingly, we provide an example of thin-shell wormhole which is strictly stable in the sense that it is confined in between two classically intransmissible potential barriers.


2015 ◽  
Vol 30 (13) ◽  
pp. 1550078 ◽  
Author(s):  
Sharmanthie Fernando

In this paper, we have studied the area and mass spectrum of a Lifshitz black hole in 2+1 dimensions. This black hole is obtained for conformal gravity in 2+1 dimensions and is asymptotic to z = 0 Lifshitz spacetime. Quasinormal modes (QNM) frequencies of the conformally coupled scalar field perturbations are employed for the purpose of analyzing the area spectrum of the black hole. We have used two methods: modified Hod's conjecture and Kunsttater's method. In both methods, the area and the mass spectrum is shown to be equally spaced. We compared our results with the area spectrum of the BTZ black hole and the z = 3 black hole and made suggestions to extend this work in the future.


2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Kumar S. Gupta ◽  
E. Harikumar ◽  
Tajron Jurić ◽  
Stjepan Meljanac ◽  
Andjelo Samsarov

The BTZ black hole geometry is probed with a noncommutative scalar field which obeys theκ-Minkowski algebra. The entropy of the BTZ black hole is calculated using the brick wall method. The contribution of the noncommutativity to the black hole entropy is explicitly evaluated up to the first order in the deformation parameter. We also argue that such a correction to the black hole entropy can be interpreted as arising from the renormalization of the Newton’s constant due to the effects of the noncommutativity.


2006 ◽  
Vol 21 (38) ◽  
pp. 2893-2902
Author(s):  
P. I. KURIAKOSE ◽  
V. C. KURIAKOSE

A nontrivial scalar solution, whose source is a massive scalar field with a double-well potential, for a non-rotating Bananas–Teitelboim–Zanelli (BTZ) black hole is obtained with a condition [Formula: see text], where μ is the mass of scalar field and [Formula: see text] the cosmological constant. The stability of solution is also studied. The mass of black hole with a scalar hair is greater than the black hole without hair. The scalar solution proposes a regular horizon which hides the naked singularity.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Ryuichi Nakayama ◽  
Kenji Shiohara

Abstract A quantum scalar field inside the horizon of the non-rotating BTZ black hole is studied. Not only the near-horizon modes but also the normal modes deep inside the horizon are obtained. It is shown that the matching condition for the normal modes of a scalar field at the horizon does not uniquely determine the normal-mode expansion of a scalar field inside the horizon. By choosing a certain appropriate prescription for removing this ambiguity, an integral form of a new scalar propagator for points on both sides of the horizon are obtained. A similar problem may arise in higher-dimensional black holes.


2019 ◽  
Vol 34 (31) ◽  
pp. 1950251
Author(s):  
Leonardo Ortíz ◽  
Nora Bretón

We show that there is no superradiance for the Dirac field in the rotating BTZ black hole if the field vanishes at infinity. Then we outline the calculation of the expression for the renormalized energy–momentum tensor, the effective action as well as the heat kernel for the Dirac field for the BTZ black hole. Finally, we point out how to construct the Hartle–Hawking–Israel state for the real scalar field in the non-rotating BTZ black hole in two and three dimensions.


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