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

Abstract

The 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.

Gravitational decoupling and superfluid stars

“…( 44)). Besides, the Einstein-Klein-Gordon system involves the mass function (66), which is also function of the brane tension and the coupling parameter a 1 as well, as it includes terms that depends…”

“…Also, the entropy of entanglement in extended MGD-decoupled anisotropic solutions [64] was comprehensively scrutinized in Refs. [65,66]. Sources of fluid anisotropy in stellar distributions, that include neutron stars, white dwarfs and quark stellar distributions, comprise magnetic fields and viscosity in extremely dense matter [67].…”

Gravitational decoupling of generalized Horndeski hybrid stars

“…Other models involving the gravitational decoupling have been developed [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49], with relevant applications to recently observed anisotropic stellar configurations [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. Also, the quantum entanglement entropy of anisotropic gravitational decoupled black holes revealed important directions towards placing the gravitational decoupling method in gauge/gravity duality [68,69]. Gravitational decoupled anisotropic quark stars, neutron stars, and dwarf remnants constituted mostly of electron-degenerate matter were proposed and scrutinized in Refs.…”

Braneworld‐Klein‐Gordon System in the Framework of Gravitational Decoupling

“…Originally, the method was restricted to spatial metric deformations in spherically symmetric systems. However, in the last years the method has been extended to include the formulation in alternative coordinates, [ 57 ] spatial and temporal deformations of the metric components [ 58 ] and cylindrical or axially symmetric matter distributions [ 59,60 ] (for more applications of the gravitational decoupling method see [61–95] ).…”