scholarly journals No Cauchy horizon theorem for nonlinear electrodynamics black holes with charged scalar hairs

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
Yu-Sen An ◽  
Li Li ◽  
Fu-Guo Yang
Keyword(s):  
Black Holes ◽  
Nonlinear Electrodynamics ◽  
Cauchy Horizon ◽  
Charged Scalar

Stability of charged scalar–tensor black holes coupled to Born–Infeld nonlinear electrodynamics

2008 ◽  
Vol 26 (1) ◽  
pp. 015006 ◽  
Author(s):  
Ivan Zh Stefanov ◽  
Stoytcho S Yazadjiev ◽  
Michail D Todorov
Keyword(s):  
Black Holes ◽  
Nonlinear Electrodynamics ◽  
Charged Scalar

scholarly journals No inner-horizon theorem for black holes with charged scalar hairs

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Rong-Gen Cai ◽  
Li Li ◽  
Run-Qiu Yang
Keyword(s):  
Black Holes ◽  
Scalar Potential ◽  
Gravitational Theory ◽  
Einstein Gravity ◽  
Kinetic Term ◽  
Cauchy Horizon ◽  
Charged Scalar ◽  
Inner Horizon ◽  
Scalar Hair ◽  
Scalar Potentials

Abstract We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar black holes with non-trivial scalar hair. The hairy black holes approach to a spacelike singularity at late interior time. This result is independent of the form of scalar potentials as well as the asymptotic boundary of spacetimes. We prove that the geometry near the singularity takes a universal Kasner form when the kinetic term of the scalar hair dominates, while novel behaviors different from the Kasner form are uncovered when the scalar potential become important to the background. For the hyperbolic horizon case, we show that hairy black hole can only has at most one inner horizon, and a concrete example with an inner horizon is presented. All these features are also valid for the Einstein gravity coupled with neutral scalars.

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 Nonlinear Electrodynamics and Magnetic Black Holes

2017 ◽  
Vol 529 (8) ◽  
pp. 1700073 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Black Holes ◽  
Nonlinear Electrodynamics

scholarly journals TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF A HORIZON

2011 ◽  
Vol 20 (06) ◽  
pp. 1095-1122 ◽  
Author(s):  
MASARU SIINO ◽  
TATSUHIKO KOIKE
Keyword(s):  
Black Holes ◽  
Smooth Function ◽  
Singularity Theory ◽  
Topological Classification ◽  
Cauchy Horizon ◽  
Qualitative Properties ◽  
Important Object ◽  
Maxwell Set ◽  
Spatial Section

The crease set of an event horizon or a Cauchy horizon is an important object which determines the qualitative properties of the horizon. In particular, it determines the possible topologies of the spatial sections of the horizon. By Fermat's principle in geometric optics, we relate the crease set and the Maxwell set of a smooth function in the context of singularity theory. We thereby give a classification of generic topological structures of the Maxwell sets and the generic topologies of the spatial section of the horizon.

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