Gauss-Bonnet solution with a cloud of strings in de Sitter and anti-de Sitter space

Abstract

In this paper, we present exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of strings fluid with cosmological constant in $D>4$ dimensions. Both charged and uncharged cases are considered. We focus on the de Sitter solutions in the main text and leave the Anti-de Sitter solutions in the appendix. We analyze the features of thermodynamic properties of the black hole solutions. The mass, Hawking temperature as well as thermal stability and the phase transitions are discussed. Moreover, the equation of state and critical phenomena associated with these solutions are also explored.

16 pages, 7 figures

References in corpus (5)

• Clouds of strings in third-order Lovelock gravity
• Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space
• Traversable wormholes in a string cloud
• Bardeen solution with a cloud of strings
• Kerr-de Sitter and Kerr-anti-de Sitter black holes as accelerators for spinning particles

Cited by in corpus (3)

• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Thermodynamics, Shadow, and Quasinormal Modes of AdS Ayón--Beato--García Massive Black Hole