scholarly journals Quantum scalar field on a three-dimensional (BTZ) black hole instanton: Heat kernel, effective action, and thermodynamics

1997 ◽  
Vol 55 (6) ◽  
pp. 3622-3632 ◽  
Author(s):  
Robert B. Mann ◽  
Sergey N. Solodukhin
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Heat Kernel ◽  
Effective Action ◽  
Three Dimensional ◽  
Btz Black Hole

scholarly journals Aspects of the BTZ black hole interacting with fields

2019 ◽  
Vol 34 (31) ◽  
pp. 1950251
Author(s):  
Leonardo Ortíz ◽  
Nora Bretón
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Heat Kernel ◽  
Effective Action ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Three Dimensions ◽  
Dirac Field ◽  
Btz Black Hole ◽  
Renormalized Energy

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.

scholarly journals Critical behaviors of 3D black holes with a scalar hair

2015 ◽  
Vol 12 (02) ◽  
pp. 1550017 ◽  
Author(s):  
A. Belhaj ◽  
M. Chabab ◽  
H. El Moumni ◽  
K. Masmar ◽  
M. B. Sedra
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Moduli Space ◽  
Three Dimensional ◽  
Perfect Gas ◽  
Btz Black Hole ◽  
Scalar Hair ◽  
Two Parameters ◽  
Thermodynamic Pressure

The principal focus of the present work concerns the critical behaviors of a class of three-dimensional (3D) black holes with a scalar field hair. Since the cosmological constant is viewed as a thermodynamic pressure and its conjugate quantity as a volume, we examine such properties in terms of two parameters B and a. The latters are related to the scalar field and the angular momentum, respectively. In particular, we give the equation of state predicting a critical universal number depending on the (B, a) moduli space. In the vanishing limit of the B parameter, we recover the usual perfect gas behavior appearing in the case of the non-rotating BTZ black hole. We point out that in a generic region of the (B, a) moduli space, the model behaves like a Van der Waals system.

Periodicity and area spectrum of the three dimensional BTZ black hole

2012 ◽  
Vol 44 (11) ◽  
pp. 2865-2872 ◽  
Author(s):  
Hui-Ling Li ◽  
Rong Lin ◽  
Li-Ying Cheng
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Area Spectrum ◽  
Btz Black Hole

scholarly journals Remarks on the Spectrum and Truncated Heat Kernel of the BTZ Black Hole

2007 ◽  
Vol 79 (2) ◽  
pp. 203-211 ◽  
Author(s):  
A. A. Bytsenko ◽  
M. E. X. Guimarães ◽  
F. L. Williams
Keyword(s):  
Black Hole ◽  
Heat Kernel ◽  
Btz Black Hole

Chiral modular bootstrap

2019 ◽  
Vol 34 (28) ◽  
pp. 1950168 ◽  
Author(s):  
M. Ashrafi
Keyword(s):  
Black Hole ◽  
Upper Bound ◽  
Three Dimensional ◽  
Conformal Weight ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Dimensional Gravity ◽  
Large Spin ◽  
Dimension Ratio

Using modular bootstrap we show the lightest primary fields of a unitary compact two-dimensional conformal field theory (with [Formula: see text], [Formula: see text]) has a conformal weight [Formula: see text]. This implies that the upper bound on the dimension of the lightest primary fields depends on their spin. In particular if the set of lightest primary fields includes extremal or near extremal states whose spin to dimension ratio [Formula: see text], the corresponding dimension is [Formula: see text]. From AdS/CFT correspondence, we obtain an upper bound on the spectrum of black hole in three-dimensional gravity. Our results show that if the first primary fields have large spin, the corresponding three-dimensional gravity has extremal or near extremal BTZ black hole.

A Zeta Function for the BTZ Black Hole

2003 ◽  
Vol 18 (12) ◽  
pp. 2205-2209 ◽  
Author(s):  
F. L. Williams
Keyword(s):  
Black Hole ◽  
Zeta Function ◽  
Three Dimensional ◽  
Thermodynamic Quantities ◽  
Btz Black Hole ◽  
Special Values

For the three-dimensional BTZ black hole we consider a Selberg type zeta function. We indicate how special values of its logarithm correspond to certain thermodynamic quantities associated with the black hole.

scholarly journals Thin-shell wormholes in (2 + 1)-dimensional Einstein-scalar theory

2017 ◽  
Vol 32 (10) ◽  
pp. 1750064 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
Z. Amirabi ◽  
M. Halilsoy
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Thin Shell ◽  
Infinite Class ◽  
Btz Black Hole ◽  
Scalar Theory ◽  
Potential Barriers ◽  
Field Extensions ◽  
Linear Perturbations ◽  
Thin Shell Wormholes

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.

scholarly journals Page curve for entanglement negativity through geometric evaporation

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Jaydeep Kumar Basak ◽  
Debarshi Basu ◽  
Vinay Malvimat ◽  
Himanshu Parihar ◽  
Gautam Sengupta
Keyword(s):  
Black Hole ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Mixed State ◽  
Dimensional Reduction ◽  
Matrix Theory ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Diagrammatic Technique

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through the partial dimensional reduction of a three dimensional BTZ black hole. Our results exactly reproduce the analogues of the Page curve for the entanglement negativity which were recently determined through diagrammatic technique developed in the context of random matrix theory.

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