scholarly journals The Abrikosov vortex in curved space

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Jan Albert
Keyword(s):  
Black Hole ◽  
The Self ◽  
Singular Solutions ◽  
Abrikosov Vortex ◽  
Btz Black Hole ◽  
Holographic Superconductor ◽  
Curved Space ◽  
Asymptotically Flat ◽  
Higher Dimensional ◽  
Vortex Solutions

Abstract We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, whereas singular solutions consist of vortices holding a conical singularity at their core. There are no black hole vortex solutions. In the asymptotically AdS case, in addition to these solutions there exist singular solutions containing a BTZ black hole, but they are always hairless. So we find that in contrast with 4-dimensional ’t Hooft-Polyakov monopoles, which can be regarded as their higher-dimensional analogues, Abrikosov vortices cannot hold a black hole at their core. We also describe the implications of these results in the context of AdS/CFT and propose an interpretation for their CFT dual along the lines of the holographic superconductor.

scholarly journals NONCOMMUTATIVE BLACK HOLES, THE FINAL APPEAL TO QUANTUM GRAVITY: A REVIEW

2009 ◽  
Vol 24 (07) ◽  
pp. 1229-1308 ◽  
Author(s):  
PIERO NICOLINI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Effective Theory ◽  
Final State ◽  
Curved Space ◽  
Higher Dimensional ◽  
Energy Hadron ◽  
Black Hole Remnant ◽  
First Time

We present the state of the art regarding the relation between the physics of Quantum Black Holes and Noncommutative Geometry. We start with a review of models proposed in the literature for describing deformations of General Relativity in the presence of noncommutativity, seen as an effective theory of Quantum Gravity. We study the resulting metrics, proposed to replace or at least to improve the conventional black hole solutions of Einstein's equation. In particular, we analyze noncommutative-inspired solutions obtained in terms of quasiclassical noncommutative coordinates: indeed because of their surprising new features, these solutions enable us to circumvent long standing problems with Quantum Field Theory in Curved Space and to cure the singular behavior of gravity at the centers of black holes. As a consequence, for the first time, we get a complete description of what we may call the black hole SCRAM, the shut down of the emission of thermal radiation from the black hole: in place of the conventional scenario of runaway evaporation in the Planck phase, we find a zero temperature final state, a stable black hole remnant, whose size and mass are determined uniquely in terms of the noncommutative parameter θ. This result turns out to be of vital importance for the physics of the forthcoming experiments at the LHC, where mini black hole production is foreseen in extreme energy hadron collisions. Because of this, we devote the final part of this review to higher-dimensional solutions and their phenomenological implications for TeV Gravity.

scholarly journals The Phase Transition of Higher Dimensional Charged Black Holes

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Xiongying Guo ◽  
Huaifan Li ◽  
Lichun Zhang ◽  
Ren Zhao
Keyword(s):  
Black Hole ◽  
Critical Point ◽  
Intrinsic Property ◽  
Flat Space ◽  
Thermodynamic System ◽  
Asymptotically Flat ◽  
Black Hole Thermodynamic ◽  
Charged Black Holes ◽  
Higher Dimensional ◽  
Ads Spacetime

We have studied phase transitions of higher dimensional charge black hole with spherical symmetry. We calculated the local energy and local temperature and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters(Q,Φ)of black hole thermodynamic system, in accordance with considering the state parameters(P,V)of van der Waals system, respectively. We obtain the critical point of black hole thermodynamic system and find that the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime and is intrinsic property of black hole thermodynamic system.

scholarly journals Interior of the horizon of the Bañados-Teitelboim-Zanelli black hole

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Ryuichi Nakayama ◽  
Kenji Shiohara
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Normal Modes ◽  
Integral Form ◽  
Matching Condition ◽  
Btz Black Hole ◽  
Mode Expansion ◽  
Higher Dimensional ◽  
Appropriate Prescription

Abstract A quantum scalar field inside the horizon of the non-rotating BTZ black hole is studied. Not only the near-horizon modes but also the normal modes deep inside the horizon are obtained. It is shown that the matching condition for the normal modes of a scalar field at the horizon does not uniquely determine the normal-mode expansion of a scalar field inside the horizon. By choosing a certain appropriate prescription for removing this ambiguity, an integral form of a new scalar propagator for points on both sides of the horizon are obtained. A similar problem may arise in higher-dimensional black holes.

scholarly journals Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature in f(R) gravity theories

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Thanasis Karakasis ◽  
Eleftherios Papantonopoulos ◽  
Zi-Yu Tang ◽  
Bin Wang
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Modified Gravity ◽  
Black Hole Solution ◽  
Gordon Equation ◽  
The Self ◽  
Asymptotically Flat ◽  
Dimensional Spacetime ◽  
Klein Gordon ◽  
Black Hole Solutions

AbstractWe report exact black hole solutions in asymptotically flat or (A)dS four-dimensional spacetime with a conformally coupled self-interacting scalar field in f(R) gravity. We first consider the asymptotically flat model $$f(R) = R -2\alpha \sqrt{R}$$ f ( R ) = R - 2 α R and derive an exact black hole solution. Then, we consider the asymptotically (A)dS model $$f(R) =R -2 \Lambda -2 \alpha \sqrt{R-4 \Lambda }$$ f ( R ) = R - 2 Λ - 2 α R - 4 Λ and derive an exact black hole solution. In both cases the modified gravity parameter $$\alpha $$ α , which has the dimension of the inverse mass, cannot be set to zero and the self-interacting potential is determined from the Klein–Gordon equation, preserving the conformal invariance. The thermodynamics of the solutions is also studied.

scholarly journals Throat quantization of the Schwarzschild-Tangherlini(-AdS) black hole

2018 ◽  
Vol 168 ◽  
pp. 03009
Author(s):  
Hideki Maeda
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Three Dimensional ◽  
Large Mass ◽  
Wkb Approximation ◽  
Btz Black Hole ◽  
Asymptotically Flat ◽  
Ads Black Holes ◽  
Arbitrary Dimensions

By the throat quantization pioneered by Louko and Mäkelä, we derive the mass and area/entropy spectra for the Schwarzschild-Tangherlini-type asymptotically flat or AdS vacuum black hole in arbitrary dimensions. Using the WKB approximation for black holes with large mass, we show that area/entropy is equally spaced for asymptotically flat black holes, while mass is equally spaced for asymptotically AdS black holes. Exact spectra can be obtained for toroidal AdS black holes in arbitrary dimensions including the three-dimensional BTZ black hole.

HAGEDORN BEHAVIOR OF STRINGS IN AdS3/BTZ

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2264-2266
Author(s):  
TOSHIHIRO MATSUO
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Finite Temperature ◽  
Btz Black Hole ◽  
Curved Space ◽  
Black Hole Background

We study a finite temperature string in curved space, especially in AdS3 and BTZ black hole background. We extract Hagedorn behavior of strings and argue thermodynamic properties in thermal AdS3 as well as in BTZ black hole background. In particular, we find the Hagedorn temperature of string on AdS3, which depends on the AdS3 curvature scale. We also find a tachyonic divergence for a BTZ black hole of string scale.

scholarly journals SELF-GRAVITATIONAL CORRECTIONS TO THE CARDY–VERLINDE FORMULA OF CHARGED BTZ BLACK HOLE

2011 ◽  
Vol 26 (14) ◽  
pp. 1047-1057 ◽  
Author(s):  
FARHAD DARABI ◽  
MUBASHER JAMIL ◽  
MOHAMMAD REZA SETARE
Keyword(s):  
Black Hole ◽  
The Self ◽  
Gravity Models ◽  
Black Hole Horizon ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Verlinde Formula ◽  
Dimensional Gravity

The entropy of the charged BTZ black hole horizon is described by the Cardy–Verlinde formula. We then compute the self-gravitational corrections to the Cardy–Verlinde formula of the charged BTZ black hole in the context of Keski-Vakkuri, Kraus and Wilczek (KKW) analysis. The self-gravitational corrections to the entropy as given by the Cardy–Verlinde formula are found to be positive. This result provides evidence in support of the claim that the holographic bound is not universal in the framework of two-dimensional gravity models.

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