Holographic Anisotropic Background in 5D Einstien-Gauss-Bonnet Gravity

TL;DR

This paper develops an anisotropic black brane solution in a 5D Einstein-Gauss-Bonnet gravity model with Maxwell-dilaton fields, exploring thermodynamic phase transitions influenced by gravity and anisotropy parameters.

Contribution

It introduces a novel anisotropic black brane solution in 5D Einstein-Gauss-Bonnet gravity coupled with Maxwell-dilaton fields, extending previous AdS/QCD models to include quadratic gravity effects.

Findings

The blackening function indicates phase transitions between small/large black branes.

The model shows thermodynamic phase transitions influenced by chemical potential and anisotropy.

The background solution incorporates an arbitrary anisotropic exponent and dilaton field.

Abstract

In this paper, we extend the work on the AdS/QCD model to quadratic gravity to gain insight into the influence of gravity. We obtain an anisotropic black brane solution to a $5D$ Einstein-Gauss-Bonnet-two Maxwell-dilaton system. The background is specified by an arbitrary exponent, a dilaton field, a time component of the first Maxwell field, and a magnetic component of the second Maxwell field. The system in three cases has been investigated and in each case the effect of the parameter of theory, the anisotropic parameter has been considered. The blackening function supports the thermodynamical phase transition between small/large and AdS/large black brane for a suitable chemical potential and other parameters.