Clouds of strings in third-order Lovelock gravity

Abstract

Lovelock theory is a natural extension of the Einstein theory of general relativity to higher dimensions in which the first and second orders correspond, respectively, to general relativity and Einstein-Gauss-Bonnet gravity. We present exact black hole solutions of $D\ge 4$-dimensional spacetime for first-, second-, and third-order Lovelock gravities in a string cloud background. Further, we compute the mass, temperature, and entropy of black hole solutions for the higher-dimensional general relativity and Einstein-Gauss-Bonnet theories and also perform thermodynamic stability of black holes. It turns out that the presence of the Gauss-Bonnet term and/or background string cloud completely changes the black hole thermodynamics. Interestingly, the entropy of a black hole is unaffected due to a background string cloud. We rediscover several known spherically symmetric black hole solutions in the appropriate limits.

13 pages, 7 figures, Accepted for publication in Physical Review D

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• Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity
• The emergence of universal relations in the AdS black holes thermodynamics
• Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Bardeen solution with a cloud of strings
• On the Letelier spacetime with quintessence: solution, thermodynamics and Hawking radiation
• EHT observables as a tool to estimate parameters of supermassive black holes
• Stability of spherically symmetric timelike thin-shells in general relativity with a variable equation of state
• Rotating black hole mimicker surrounded by the string cloud
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Critical behavior of AdS Gauss-Bonnet massive black holes in the presence of external string cloud
• Noncommutative geometry inspired rotating black string
• Cloud of strings as source in $2+1$-dimensional $f(R)=R^n$ gravity
• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Cloud of strings in f(R) gravity
• Quasinormal modes of the Bardeen black hole with a cloud of strings
• Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
• Does a Cloud of Strings Affect Shear Viscosity Bound?
• The Last Lost Charge And Phase Transition In Schwarzschild AdS Minimally Coupled to a Cloud of Strings
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• The effect of three matters on KSS bound
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• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• The Phase Transition of $4D$ Yang-Mills Charged GB AdS Black Hole with Cloud of Strings
• The Effect of Bulk Dimension in the presence of String Cloud on Viscosity Bound
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Tidal forces around the Letelier-Alencar cloud of strings black hole
• Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation