scholarly journals Charged black hole in a grand canonical ensemble

1990 ◽  
Vol 42 (10) ◽  
pp. 3376-3385 ◽  
Author(s):  
Harry W. Braden ◽  
J. David Brown ◽  
Bernard F. Whiting ◽  
James W. York
Keyword(s):  
Black Hole ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Charged Black Hole ◽  
Grand Canonical

scholarly journals Gravitational duals to the grand canonical ensemble abhor Cauchy horizons

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Sean A. Hartnoll ◽  
Gary T. Horowitz ◽  
Jorrit Kruthoff ◽  
Jorge E. Santos
Keyword(s):  
Black Hole ◽  
Canonical Ensemble ◽  
Temperature Limit ◽  
Grand Canonical Ensemble ◽  
Cauchy Horizon ◽  
Inner Horizon ◽  
Scalar Operator ◽  
Black Hole Interior ◽  
Specific Temperature ◽  
Grand Canonical

Abstract The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes — for example Reissner- Nordström-AdS — can have Cauchy horizons that render the classical gravitational dynamics of the black hole interior incomplete. We show that a (spatially uniform) deformation of the CFT by a neutral scalar operator generically leads to a black hole with no inner horizon. There is instead a spacelike Kasner singularity in the interior. For relevant deformations, Cauchy horizons never form. For certain irrelevant deformations, Cauchy horizons can exist at one specific temperature. We show that the scalar field triggers a rapid collapse of the Einstein-Rosen bridge at the would-be Cauchy horizon. Finally, we make some observations on the interior of charged dilatonic black holes where the Kasner exponent at the singularity exhibits an attractor mechanism in the low temperature limit.

(2+1)-Dimensional AdS Black Hole in Grand Canonical Ensemble

2001 ◽  
Vol 36 (4) ◽  
pp. 413-416
Author(s):  
Chen Ju-Hua ◽  
Jing Ji-Liang ◽  
Wang Yong-Jiu
Keyword(s):  
Black Hole ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Grand Canonical
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