scholarly journals Thermodynamic Geometry and Topological Einstein–Yang–Mills Black Holes

Entropy ◽  
2012 ◽  
Vol 14 (6) ◽  
pp. 1045-1078 ◽  
Author(s):  
Stefano Bellucci ◽  
Bhupendra Nath Tiwari
Keyword(s):  
Black Holes ◽  
Yang Mills ◽  
Thermodynamic Geometry

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 Analytic critical points of charged Rényi entropies from hyperbolic black holes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jie Ren
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Study Phase ◽  
Zero Temperature ◽  
Charged Scalar ◽  
Yang Mills ◽  
Gravitational Systems ◽  
Rényi Entropies ◽  
Zero Entropy ◽  
Renyi Entropies

Abstract We analytically study phase transitions of holographic charged Rényi entropies in two gravitational systems dual to the $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory at finite density and zero temperature. The first system is the Reissner-Nordström-AdS5 black hole, which has finite entropy at zero temperature. The second system is a charged dilatonic black hole in AdS5, which has zero entropy at zero temperature. Hyperbolic black holes are employed to calculate the Rényi entropies with the entangling surface being a sphere. We perturb each system by a charged scalar field, and look for a zero mode signaling the instability of the extremal hyperbolic black hole. Zero modes as well as the leading order of the full retarded Green’s function are analytically solved for both systems, in contrast to previous studies in which only the IR (near horizon) instability was analytically treated.

scholarly journals THERMODYNAMICS OF CONSTANT CURVATURE BLACK HOLES THROUGH SEMICLASSICAL TUNNELING

2011 ◽  
Vol 26 (13) ◽  
pp. 937-947 ◽  
Author(s):  
ALEXANDRE YALE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Constant Curvature ◽  
Hawking Radiation ◽  
Emission Rate ◽  
Yang Mills ◽  
Fermion Fields ◽  
Tunneling Method ◽  
Semiclassical Tunneling ◽  
Algorithmic Procedure

We study the semiclassical tunneling of scalar and fermion fields from the horizon of a Constant Curvature Black Hole, which is locally AdS and whose five-dimensional analogue is dual to [Formula: see text] super-Yang–Mills. In particular, we highlight the strong reliance of the tunneling method for Hawking radiation on near-horizon symmetries, a fact often hidden behind the algorithmic procedure with which the tunneling approach tends to be used. We ultimately calculate the emission rate of scalars and fermions, and hence the black hole's Hawking temperature.

scholarly journals Topological Geon Black Holes in Einstein-Yang-Mills Theory

2011 ◽  
Vol 303 (1) ◽  
pp. 127-148
Author(s):  
George T. Kottanattu ◽  
Jorma Louko
Keyword(s):  
Black Holes ◽  
Yang Mills
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