Energy-dependent topological anti-de Sitter black holes in Gauss-Bonnet Born-Infeld gravity

Understand

Employing higher curvature corrections to Einstein--Maxwell gravity has garnered a great deal of attention motivated by the high energy regime in quantum nature of black hole physics.

• In addition, one may employ gravity's rainbow to encode quantum gravity effects into the black hole solutions.
• In this paper, we regard an energy dependent static spacetime with various topologies and study its black hole solutions in the context of Gauss--Bonnet Born--Infeld (GB--BI) gravity.
• We study thermodynamic properties and examine the first law of thermodynamics.