2014/08/20 by Sushant G. Ghosh, Uma Papnoi, Sunil D. Maharaj · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1103/physrevd.90.044068
13 pages, 7 figures, Accepted for publication in Physical Review D
arxiv created 2014/08/20 · arxiv updated 2015/06/22
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≥ 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.