Quintessence background for 5D EinsteinGaussBonnet black holes
Abstract
As we know that the Lovelock theory is an extension of the general relativity to the higherdimensions, in this theory the first and the secondorder terms correspond to general relativity and the EinsteinGaussBonnet gravity, respectively. We obtain a 5D black hole solution in EinsteinGaussBonnet gravity surrounded by the quintessence matter, and we also analyze their thermodynamical properties. Owing to the quintessence corrected black hole, the thermodynamic quantities have also been corrected except for the black hole entropy, and a phase transition is achievable. The phase transition for the thermodynamic stability is characterized by a discontinuity in the specific heat at r=r_C, with the stable (unstable) branch for r < (>) r_C.
 Publication:

European Physical Journal C
 Pub Date:
 August 2017
 DOI:
 10.1140/epjc/s1005201750998
 arXiv:
 arXiv:1611.02936
 Bibcode:
 2017EPJC...77..530G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, 5 figures, accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1408.4611