Black hole boundary conditions and coordinate conditions

Abstract In this article we study a family of four-dimensional, $$ \mathcal{N} $$ N = 2 supergravity theories that interpolates between all the single dilaton truncations of the SO(8) gauged $$ \mathcal{N} $$ N = 8 supergravity. In this infinitely many theories characterized by two real numbers — the interpolation parameter and the dyonic “angle” of the gauging — we construct non-extremal electrically or magnetically charged black hole solutions and their supersymmetric limits. All the supersymmetric black holes have non-singular horizons with spherical, hyperbolic or planar topology. Some of these supersymmetric and non-extremal black holes are new examples in the $$ \mathcal{N} $$ N = 8 theory that do not belong to the STU model. We compute the asymptotic charges, thermodynamics and boundary conditions of these black holes and show that all of them, except one, introduce a triple trace deformation in the dual theory.

A NOTE ON KERR/CFT AND FREE FIELDS

International Journal of Modern Physics A ◽

10.1142/s0217751x10050457 ◽

2010 ◽

Vol 25 (20) ◽

pp. 3965-3973 ◽

Cited By ~ 2

Author(s):

JØRGEN RASMUSSEN

Keyword(s):

Black Hole ◽

Boundary Conditions ◽

Isometry Group ◽

Free Field ◽

Kerr Black Hole ◽

Virasoro Algebra ◽

Free Fields ◽

Horizon Geometry

The near-horizon geometry of the extremal four-dimensional Kerr black hole and certain generalizations thereof has an SL (2, ℝ) × U (1) isometry group. Excitations around this geometry can be controlled by imposing appropriate boundary conditions. For certain boundary conditions, the U(1) isometry is enhanced to a Virasoro algebra. Here, we propose a free-field construction of this Virasoro algebra.

The weak cosmic censorship conjecture may be violated

10.31219/osf.io/vuewy ◽

2020 ◽

Author(s):

Wen-Xiang Chen

Keyword(s):

Black Hole ◽

Wave Function ◽

Boundary Conditions ◽

Cosmic Censorship ◽

Traditional Theory ◽

Schwarzschild Black Hole ◽

Entropy Reduction ◽

Set Up ◽

Coupled Wave ◽

Cosmic Censorship Conjecture

According to traditional theory, the Schwarzschild black hole does not produce superradiation. If the boundary conditions are set up in advance, this possibility will be combined with the boson-coupled wave function in the Schwarzschild black hole, where the incident boson will have a mirrored mass, so even the Schwarzschild black hole can generate superradiation phenomena.Recently, an article of mine obtained interesting results about the Schwarzschild black hole can generate superradiation phenomena. The result contains some conclusions that violate the "no-hair theorem". We know that the phenomenon of black hole superradiation is a process of entropy reduction I found that the weak cosmic censorship conjecture may be violated.

A falling magnetic monopole as a holographic local quench

Journal of High Energy Physics ◽

10.1007/jhep11(2021)048 ◽

2021 ◽

Vol 2021 (11) ◽

Author(s):

Nicolò Zenoni ◽

Roberto Auzzi ◽

Stefania Caggioli ◽

Maria Martinelli ◽

Giuseppe Nardelli

Keyword(s):

Black Hole ◽

Boundary Conditions ◽

Functional Form ◽

Magnetic Monopole ◽

Energy Momentum Tensor ◽

Entanglement Entropy ◽

Momentum Tensor ◽

Negative Contribution ◽

Monopole Solution ◽

The One

Abstract An analytic static monopole solution is found in global AdS4, in the limit of small backreaction. This solution is mapped in Poincaré patch to a falling monopole configuration, which is dual to a local quench triggered by the injection of a condensate. Choosing boundary conditions which are dual to a time-independent Hamiltonian, we find the same functional form of the energy-momentum tensor as the one of a quench dual to a falling black hole. On the contrary, the details of the spread of entanglement entropy are very different from the falling black hole case, where the quench induces always a higher entropy compared to the vacuum, i.e. ∆S > 0. In the propagation of entanglement entropy for the monopole quench, there is instead a competition between a negative contribution to ∆S due to the scalar condensate and a positive one carried by the freely propagating quasiparticles generated by the energy injection.

The Schwarzschild black hole in f(R) can exist superradiation phenomenon

10.31237/osf.io/9p7r4 ◽

2021 ◽

Author(s):

Wen-Xiang Chen

Keyword(s):

Black Hole ◽

Boundary Conditions ◽

Event Horizon ◽

Potential Barrier ◽

Coordinate Transformation ◽

Black Hole Thermodynamics ◽

Incident Particle ◽

Schwarzschild Black Hole ◽

Relationship Of ◽

The Relationship

For the relationship of the limit $y$ of the incident particle under the superradiance of the preset boundary (${\mu} = {y}{\omega}$),we find the relationship between black hole thermodynamics and superradiation, and use boundary conditions to establish the relationship between y and R. One of the modes under f(R) gravity,there is a possible solution.When r tends to infinity, as a coordinate transformation, y tends to 0. At that time, there is a potential barrier near the event horizon, that is, the Schwarzschild black hole under f(R) gravitation has superradiation at that time.

BTZ black hole with Korteweg–de Vries-type boundary conditions: Thermodynamics revisited

Physical Review D ◽

10.1103/physrevd.100.126026 ◽

2019 ◽

Vol 100 (12) ◽

Cited By ~ 1

Author(s):

Cristián Erices ◽

Miguel Riquelme ◽

Pablo Rodríguez

Keyword(s):

Black Hole ◽

Boundary Conditions ◽

Btz Black Hole ◽

De Vries ◽

Type Boundary

Black hole entropy and boundary conditions

Physical Review D ◽

10.1103/physrevd.101.124007 ◽

2020 ◽

Vol 101 (12) ◽

Author(s):

H. Khodabakhshi ◽

A. Shirzad ◽

F. Shojai ◽

Robert B. Mann

Keyword(s):

Black Hole ◽

Boundary Conditions ◽

Black Hole Entropy

Massless fermions on static general prolate metrics and their Heun solutions

Modern Physics Letters A ◽

10.1142/s0217732320500364 ◽

2019 ◽

Vol 35 (07) ◽

pp. 2050036

Author(s):

Marina-Aura Dariescu ◽

Ciprian Dariescu ◽

Cristian Stelea

Keyword(s):

Black Hole ◽

Dirac Equation ◽

Boundary Conditions ◽

Radial Solutions ◽

Resonant Frequencies ◽

Dirac Equations ◽

Electrically Charged ◽

Massless Fermions

Employing a pseudo-orthonormal coordinate-free approach, we write down the Dirac equation in spacetimes with static general prolate metrics. As examples, we consider the electrically charged C-metric, the vacuum C-metric, the Reissner–Nordström and Schwarzschild spacetimes and the BBMB black hole and show that the solutions to the Dirac equations for particles in these spacetimes can be derived in terms of Heun’s general functions and their confluent and double confluent forms. By imposing boundary conditions to the radial solutions, the so-called resonant frequencies are obtained.