scholarly journals Miens of the three-dimensional black hole

1993 ◽  
Vol 48 (6) ◽  
pp. 2598-2605 ◽  
Author(s):  
Nemanja Kaloper
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Dimensional Black Hole

scholarly journals THERMODYNAMICS OF BLACK HOLE IN (N+3) DIMENSIONS FROM EUCLIDEAN N-BRANE THEORY

1995 ◽  
Vol 10 (36) ◽  
pp. 2775-2782 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Particle Model ◽  
Field Equations ◽  
3 Dimensional ◽  
The Past ◽  
Dimensional Black Hole ◽  
Brane Theory

In this letter we consider an N-brane description of an (N+3)-dimensional black hole horizon. First of all, we start by examining in more detail a previous work where a string theory is used in describing the dynamics of the event horizon of a four-dimensional black hole. This is an attempt to understand the black hole thermodynamics by an effective two-dimensional field theory of the event horizon of a black hole. Then we consider a particle model defined on one-dimensional Euclidean line in a three-dimensional black hole as a target spacetime metric. By solving the field equations we find a “worldline instanton” which connects the past event horizon with the future one. This solution gives us the exact value of the Hawking temperature and to leading order the Bekenstein-Hawking formula of black hole entropy. We also show that this formalism is extensible to an arbitrary spacetime dimension. Finally we make a comment of many recent works of one-loop quantum correction to the black hole entropy.

scholarly journals Back reaction of a conformal field on a three-dimensional black hole

1997 ◽  
Vol 55 (6) ◽  
pp. 3642-3646 ◽  
Author(s):  
Cristián Martínez ◽  
Jorge Zanelli
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Back Reaction ◽  
Conformal Field ◽  
Dimensional Black Hole

scholarly journals Boosted Three-Dimensional Black-Hole Evolutions with Singularity Excision

1998 ◽  
Vol 80 (12) ◽  
pp. 2512-2516 ◽  
Author(s):  
G. B. Cook ◽  
M. F. Huq ◽  
S. A. Klasky ◽  
M. A. Scheel ◽  
A. M. Abrahams ◽  
...  
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Dimensional Black Hole

scholarly journals Holographic subregion complexity of a (1+1)-dimensional $p$-wave superconductor

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
Mitsutoshi Fujita
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Three Dimensional ◽  
Gauge Coupling ◽  
Critical Value ◽  
P Wave ◽  
Coupling Constant ◽  
S Wave ◽  
Gravitational Coupling Constant ◽  
Dimensional Black Hole

Abstract We analyze the holographic subregion complexity in a three-dimensional black hole with vector hair. This three-dimensional black hole is dual to a (1+1)-dimensional $p$-wave superconductor. We probe the black hole by changing the size of the interval and by fixing $q$ or $T$. We show that the universal part is finite across the superconductor phase transition and has competitive behaviors different from the finite part of the entanglement entropy. The behavior of the subregion complexity depends on the gravitational coupling constant divided by the gauge coupling constant. When this ratio is less than the critical value, the subregion complexity increases as temperature becomes low. This behavior is similar to that of the holographic (1+1)-dimensional $s$-wave superconductor [M. K. Zangeneh, Y. C. Ong, and B. Wang, Phys. Lett. B 771, 130 (2014)]. When the ratio is larger than the critical value, the subregion complexity has a non-monotonic behavior as a function of $q$ or $T$. We also find a discontinuous jump of the subregion complexity as a function of the size of the interval. The subregion complexity has a maximum when it wraps almost the entire spatial circle. Due to competitive behaviors between the normal and condensed phases, the universal term in the condensed phase becomes even smaller than that of the normal phase by probing the black hole horizon at a large interval. This implies that the condensate formed decreases the subregion complexity as in the case of the entanglement entropy.

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