Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections

TL;DR

This paper explores the thermodynamics and phase transitions of AdS black holes in a modified gravity theory inspired by string theory, revealing new phase transition phenomena influenced by various parameters.

Contribution

It introduces a novel analysis of Gauss-Bonnet-massive gravity coupled with Born-Infeld electrodynamics, uncovering unique phase transition behaviors not previously observed.

Findings

Black hole solutions with multiple horizons are found.

Solutions satisfy the first law of thermodynamics.

New types of phase transitions are identified under specific parameter conditions.

Abstract

Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with Born-Infeld electrodynamics is considered. At first, the metric function is calculated and then the geometrical properties of the solutions are investigated. It is found that there is an essential singularity at the origin and the intrinsic curvature is regular elsewhere. In addition, the effects of massive parameters are studied and black hole solutions with multi horizons are found in this gravity. Also the conserved and thermodynamic quantities are calculated, and it is shown that the solutions satisfy the first law of thermodynamics. Furthermore, using heat capacity of these black holes, thermal stability and phase transitions are investigated. The variation of different parameters and related modifications on the (number of) phase transition are examined. Next, the critical behavior of the Gauss-Bonnet-Born-Infeld-massive black holes in the context of extended phase space is studied. It is shown that how the variation of the different parameters affects the existence and absence of phase transition. Also, it is found that for specific values of different parameters, these black holes may enjoy the existence of new type of phase transition which to our knowledge was not observed in black hole physics before.