scholarly journals Thermodynamic geometry of charged rotating BTZ black holes

2011 ◽  
Vol 83 (8) ◽  
Author(s):  
M. Akbar ◽  
H. Quevedo ◽  
K. Saifullah ◽  
A. Sánchez ◽  
S. Taj
Keyword(s):  
Black Holes ◽  
Btz Black Holes ◽  
Thermodynamic Geometry

scholarly journals On the thermodynamic geometry of BTZ black holes

2006 ◽  
Vol 2006 (11) ◽  
pp. 015-015 ◽  
Author(s):  
Tapobrata Sarkar ◽  
Gautam Sengupta ◽  
Bhupendra Nath Tiwari
Keyword(s):  
Black Holes ◽  
Btz Black Holes ◽  
Thermodynamic Geometry

scholarly journals Slow scrambling in extremal BTZ and microstate geometries

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ben Craps ◽  
Marine De Clerck ◽  
Philip Hacker ◽  
Kévin Nguyen ◽  
Charles Rabideau
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Degrees Of Freedom ◽  
Average Power ◽  
Nonzero Temperature ◽  
Time Intervals ◽  
Conformal Field ◽  
Btz Black Holes ◽  
The Right ◽  
Extremal Black Holes

Abstract Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes.In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display “slow scrambling”, characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory.Next we study the extent to which these OTOCs are modified in certain “superstrata”, horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.

scholarly journals Legendre transformations and the thermodynamic geometry of 5D black holes

2013 ◽  
Vol 37 (3) ◽  
pp. 035101 ◽  
Author(s):  
Yi-Wen Han ◽  
Gang Chen ◽  
Ming-Jian Lan
Keyword(s):  
Black Holes ◽  
Thermodynamic Geometry

scholarly journals Lower-dimensional Gauss–Bonnet gravity and BTZ black holes

2020 ◽  
Vol 808 ◽  
pp. 135657 ◽  
Author(s):  
Robie A. Hennigar ◽  
David Kubizňák ◽  
Robert B. Mann ◽  
Christopher Pollack
Keyword(s):  
Black Holes ◽  
Bonnet Gravity ◽  
Btz Black Holes ◽  
Lower Dimensional
Sign in / Sign up

Export Citation Format

Share Document