Cloud of strings for radiating black holes in Lovelock gravity

Abstract

We present exact spherically symmetric null dust solutions in the third order Lovelock gravity with a string cloud background in arbitrary $N$ dimensions,. This represents radiating black holes and generalizes the well known Vaidya solution to Lovelock gravity with a string cloud in the background. We also discuss the energy conditions and horizon structures, and explicitly bring out the effect of the string clouds on the horizon structure of black hole solutions for the higher dimensional general relativity and Einstein-Gauss-Bonnet theories. It turns out that the presence of the coupling constant of the Gauss-Bonnet terms and/or background string clouds completely changes the structure of the horizon and this may lead to a naked singularity. We recover known spherically symmetric radiating models as well as static black holes in the appropriate limits.

9 pages, To appear in Phys. Rev. D

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• Vaidya Spacetime in Massive Gravity's Rainbow
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• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Bardeen solution with a cloud of strings
• Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state
• Critical behavior of AdS Gauss-Bonnet massive black holes in the presence of external string cloud
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Quasinormal modes of the Bardeen black hole with a cloud of strings
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• Quantum State Dependence of Thermodynamic Phase Transition in 4D AdS Gauss-Bonnet Quantum Black Holes Surrounded With Cloud of Strings
• Thermodynamics of 4D dS/AdS Gauss-Bonnet black holes from consistent gravity theory in presence of cloud of strings
• Tidal forces around the Letelier-Alencar cloud of strings black hole
• Traversable wormholes in $f(R)$ gravity sourced by a cloud of strings
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
• Some aspects of the five-dimensional Lovelock black hole spacetime: strong homotopy retract, perihelion precession and quasistationary levels