Thermodynamics of 4D dS/AdS Gauss-Bonnet black holes from consistent gravity theory in presence of cloud of strings

Abstract

By looking at the Lovelock theorem one can infer that the gravity model given by \cite{GL} could not applicable for all type of 4D Einstein Gauss Bonnet (GB) curved spacetimes. Because in 4D space time the Gauss-Bonnet invariant is a total derivative, and hence it does not contribute to the gravitational dynamics. Hence, authors in the work \cite{AL} presented an alternative consistent EGB gravity model instead of \cite{GL} by applying break of diffeomorphism property. In this work we use it to produce a dS/AdS black hole metric and then investigate its thermodynamic behavior in presence of cloud of Numbo Goto strings.

25 pages, 2 tables and 4 figures

References in corpus (4)

• Third order equations of motion and the Ostrogradsky instability
• Black Holes in Pure Lovelock Gravities
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Cloud of strings for radiating black holes in Lovelock gravity

Cited by in corpus (2)

• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
• Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes