scholarly journals Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

2016 ◽  
Vol 2016 (9) ◽  
Author(s):  
Yuan Sun ◽  
Hao Xu ◽  
Liu Zhao
Keyword(s):  
Black Holes ◽  
Entanglement Entropy ◽  
Bonnet Gravity ◽  
Holographic Entanglement Entropy

scholarly journals fR Gravity Effects on Charged Accelerating AdS Black Holes Using Holographic Tools

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Adil Belhaj ◽  
Hasan El Moumni ◽  
Karima Masmar
Keyword(s):  
Black Holes ◽  
Correlation Functions ◽  
Entanglement Entropy ◽  
De Sitter ◽  
Four Dimensions ◽  
Holographic Entanglement Entropy ◽  
Ads Black Holes ◽  
Gravity Effects ◽  
Behavioral Situation ◽  
Point Correlation

We investigate numerically fR gravity effects on certain AdS/CFT tools including holographic entanglement entropy and two-point correlation functions for a charged single accelerated Anti-de Sitter black hole in four dimensions. We find that both holographic entanglement entropy and two-point correlation functions decrease by increasing the acceleration parameter A, matching perfectly with literature. Taking into account the fR gravity parameter η, the decreasing scheme of the holographic quantities persist. However, we observe a transition-like point where the behavior of the holographic tools changes. Two regions meeting at such a transit-like point are shown up. In such a nomination, the first one is associated with slow accelerating black holes while the second one corresponds to a fast accelerating solution. In the first region, the holographic entanglement entropy and two-point correlation functions decrease by increasing the η parameter. However, the behavioral situation is reversed in the second one. Moreover, a cross-comparison between the entropy and the holographic entanglement entropy is presented, providing another counterexample showing that such two quantities do not exhibit similar behaviors.

scholarly journals Refined holographic entanglement entropy for the AdS solitons and AdS black holes

2013 ◽  
Vol 872 (3) ◽  
pp. 392-426 ◽  
Author(s):  
Masafumi Ishihara ◽  
Feng-Li Lin ◽  
Bo Ning
Keyword(s):  
Black Holes ◽  
Entanglement Entropy ◽  
Holographic Entanglement Entropy ◽  
Ads Black Holes

scholarly journals MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Roldão da Rocha ◽  
Anderson A. Tomaz
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Anisotropic Fluid ◽  
Holographic Entanglement Entropy ◽  
Geometric Deformation ◽  
Anisotropic Fluids

AbstractThe holographic entanglement entropy (HEE) is investigated for a black hole under the minimal geometric deformation (MGD) procedure, created by gravitational decoupling via an anisotropic fluid, in an AdS/CFT on the brane setup. The respective HEE corrections are computed and confronted to the corresponding corrections for both the standard MGD black holes and the Schwarzschild ones.

scholarly journals Holographic Cavalieri principle as a universal relation between holographic complexity and holographic entanglement entropy

2018 ◽  
Vol 27 (09) ◽  
pp. 1850103 ◽  
Author(s):  
Davood Momeni ◽  
Mir Faizal ◽  
Ratbay Myrzakulov
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Entanglement Entropy ◽  
Circular Disk ◽  
Universal Relation ◽  
De Sitter ◽  
Cavalieri Principle ◽  
Holographic Entanglement Entropy ◽  
Type Iib String Theory

In this paper, we will propose a universal relation between the holographic complexity (dual to a volume in AdS) and the holographic entanglement entropy (dual to an area in anti-de Sitter (AdS)). We will explicitly demonstrate that our conjuncture holds for all metrics asymptotic to [Formula: see text], and then argue that such a relation should hold in general due to the AdS version of the Cavalieri principle. We will demonstrate that it holds for Janus solution, which have been recently been obtained in type IIB string theory. We will also show that this conjecture holds for a circular disk. This conjecture will be used to show that the proposal that the complexity equals action and the proposal that the complexity equals volume can represent the same physics. Thus, using this conjecture, we will show that the black holes are fastest computers, using the proposal that complexity equals volume.

scholarly journals A Second Law for higher curvature gravity

2015 ◽  
Vol 24 (12) ◽  
pp. 1544014 ◽  
Author(s):  
Aron C. Wall
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Entanglement Entropy ◽  
Black Hole Thermodynamics ◽  
Gravity Theory ◽  
Second Law ◽  
Holographic Entanglement Entropy ◽  
Higher Curvature Gravity ◽  
Complete Quantum

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald’s Noether charge method are resolved. The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong. It is suggested that only the linearization of the higher curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.

scholarly journals Uplifting supersymmetric AdS6 black holes to type II supergravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Minwoo Suh
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Type Ii ◽  
Holographic Entanglement Entropy ◽  
Black Hole Solutions

Abstract Employing uplift formulae, we uplift supersymmetric AdS6 black holes from F(4) gauged supergravity to massive type IIA and type IIB supergravity. In massive type IIA supergravity, we obtain supersymmetric AdS6 black holes asymptotic to the Brandhuber-Oz solution. In type IIB supergravity, we obtain supersymmetric AdS6 black holes asymptotic to the non-Abelian T-dual of the Brandhuber-Oz solution. For the uplifted black hole solutions, we calculate the holographic entanglement entropy. In massive type IIA supergravity, it precisely matches the Bekenstein-Hawking entropy of the black hole solutions.

scholarly journals HOLOGRAPHIC ENTANGLEMENT ENTROPY AT FINITE TEMPERATURE

2009 ◽  
Vol 24 (14) ◽  
pp. 2703-2728 ◽  
Author(s):  
IBRAHIMA BAH ◽  
ALBERTO FARAGGI ◽  
LEOPOLDO A. PANDO ZAYAS ◽  
CÉSAR A. TERRERO-ESCALANTE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Finite Temperature ◽  
Entanglement Entropy ◽  
Holographic Entanglement Entropy

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by the presence horizons. We consider several geometries with horizons: the black hole in AdS3, nonextremal D p-branes, dyonic black holes asymptotically to AdS4 and also Schwarzschild black holes in global AdS p coordinates. Generically, we find that the entanglement entropy does not exhibit a transition, that is, one of the two possible configurations always dominates.

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