scholarly journals BTZ black hole with Chern-Simons and higher derivative terms

2006 ◽  
Vol 2006 (07) ◽  
pp. 008-008 ◽  
Author(s):  
Bindusar Sahoo ◽  
Ashoke Sen
Keyword(s):  
Black Hole ◽  
Btz Black Hole ◽  
Higher Derivative ◽  
Chern Simons

scholarly journals A remark on black holes of Chern–Simons gravities in 2n + 1 dimensions: n = 1,2,3

2020 ◽  
Vol 35 (05) ◽  
pp. 2050022 ◽  
Author(s):  
D. H. Tchrakian
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Btz Black Hole ◽  
Chern Simons ◽  
Lapse Function ◽  
Odd Dimensions

A systematic prescription for constructing Chern–Simons gravities in all odd dimensions is given, and it is shown that Chern–Simons gravities in [Formula: see text] dimensions admit solutions described by the same lapse function which describes the BTZ black hole in the [Formula: see text] case. This has been carried out explicitly for [Formula: see text]. Moreover, it is seen that these solutions are unique.

scholarly journals NONCOMMUTATIVE BTZ BLACK HOLE IN DIFFERENT COORDINATES

2011 ◽  
Vol 01 ◽  
pp. 285-290
Author(s):  
CHANG-YOUNG EE
Keyword(s):  
Black Hole ◽  
Simons Theory ◽  
Coordinate Systems ◽  
Btz Black Hole ◽  
First Order ◽  
Rectangular Coordinates ◽  
Chern Simons ◽  
Black Hole Solutions ◽  
Chern Simons Theory

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of U(1, 1) × U(1, 1) Chern-Simons theory on AdS3 in the two coordinate systems via the Seiberg-Witten map. This is based on the noncommutative extension of the equivalence between the classical BTZ solution and the solution of ordinary SU(1, 1) × SU(1, 1) Chern-Simons theory on AdS3. The obtained solutions in these noncommutative coordinate systems become different in the first order of the noncommutativity parameter θ.

THOUGHTS ON THE AREA THEOREM

2009 ◽  
Vol 24 (16n17) ◽  
pp. 3111-3135 ◽  
Author(s):  
MU-IN PARK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Three Dimensional ◽  
Kerr Black Hole ◽  
Second Law Of Thermodynamics ◽  
Positive Energy ◽  
Btz Black Hole ◽  
Area Theorem ◽  
Four Dimensions ◽  
Higher Derivative

Hawking's area theorem can be understood from a quasistationary process in which a black hole accretes positive energy matter, independent of the details of the gravity action. I use this process to study the dynamics of the inner as well as the outer horizons for various black holes which include the recently discovered exotic black holes and three-dimensional black holes in higher derivative gravities as well as the usual Banados–Teitelboim–Zanelli (BTZ) black hole and the Kerr black hole in four dimensions. I find that the area for the inner horizon "can decrease," rather than increase, with the quasistationary process. However, I find that the area for the outer horizon "never decrease" such as the usual area theorem still works in our examples, though this is quite nontrivial in general. I also find that the recently proposed new entropy formulae for the above mentioned, recently discovered black holes satisfy the second law of thermodynamics.

scholarly journals BTZ black hole entropy from a Chern–Simons matrix model

2013 ◽  
Vol 30 (23) ◽  
pp. 235016 ◽  
Author(s):  
A Chaney ◽  
Lei Lu ◽  
A Stern
Keyword(s):  
Black Hole ◽  
Matrix Model ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Chern Simons

scholarly journals $$T\bar{T}$$ deformation of chiral bosons and Chern–Simons $$\hbox {AdS}_3$$ gravity

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Hao Ouyang ◽  
Hongfei Shu
Keyword(s):  
Black Hole ◽  
Scalar Fields ◽  
Flow Equation ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Btz Black Hole ◽  
Stress Energy ◽  
The One ◽  
Chiral Bosons ◽  
Chern Simons

AbstractWe study the $$T\bar{T}$$ T T ¯ deformation of the chiral bosons and show the equivalence between the chiral bosons of opposite chiralities and the scalar fields at the Hamiltonian level under the deformation. We also derive the deformed Lagrangian of more generic theories which contain an arbitrary number of chiral bosons to all orders. By using these results, we derive the $$T\bar{T}$$ T T ¯ deformed boundary action of the $$\hbox {AdS}_3$$ AdS 3 gravity theory in the Chern–Simons formulation. We compute the deformed one-loop torus partition function, which satisfies the $$T\bar{T}$$ T T ¯ flow equation up to the one-loop order. Finally, we calculate the deformed stress–energy tensor of a solution describing a BTZ black hole in the boundary theory, which coincides with the boundary stress–energy tensor derived from the BTZ black hole with a finite cutoff.

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

scholarly journals Stability of thin-shell wormholes from noncommutative BTZ black hole

2015 ◽  
Vol 24 (05) ◽  
pp. 1550034 ◽  
Author(s):  
Piyali Bhar ◽  
Ayan Banerjee
Keyword(s):  
Black Hole ◽  
Thin Shell ◽  
Static Solution ◽  
Dynamical Analysis ◽  
Energy Conditions ◽  
Btz Black Hole ◽  
Wormhole Throat ◽  
Radial Perturbation ◽  
Thin Shell Wormholes ◽  
The Stability

In this paper, we construct thin-shell wormholes in (2 + 1)-dimensions from noncommutative BTZ black hole by applying the cut-and-paste procedure implemented by Visser. We calculate the surface stresses localized at the wormhole throat by using the Darmois–Israel formalism and we find that the wormholes are supported by matter violating the energy conditions. In order to explore the dynamical analysis of the wormhole throat, we consider that the matter at the shell is supported by dark energy equation of state (EoS) p = ωρ with ω < 0. The stability analysis is carried out of these wormholes to linearized spherically symmetric perturbations around static solutions. Preserving the symmetry we also consider the linearized radial perturbation around static solution to investigate the stability of wormholes which was explored by the parameter β (speed of sound).

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