Cloud 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 EinsteinGaussBonnet gravity. We present exact black hole solutions of D≥4dimensional spacetime for first, second, and thirdorder Lovelock gravities in a string cloud background. Further, we compute the mass, temperature, and entropy of black hole solutions for the higherdimensional general relativity and EinsteinGaussBonnet theories and also perform thermodynamic stability of black holes. It turns out that the presence of the GaussBonnet 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.
 Publication:

Physical Review D
 Pub Date:
 August 2014
 DOI:
 10.1103/PhysRevD.90.044068
 arXiv:
 arXiv:1408.4611
 Bibcode:
 2014PhRvD..90d4068G
 Keywords:

 04.20.Jb;
 04.40.Nr;
 04.50.Kd;
 04.70.Dy;
 Exact solutions;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Modified theories of gravity;
 Quantum aspects of black holes evaporation thermodynamics;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, 7 figures, Accepted for publication in Physical Review D