Eur. Phys. J. C (2017) 77: 530
https://doi.org/10.1140/epjc/s10052-017-5099-8

Letter

Quintessence background for 5D Einstein–Gauss–Bonnet black holes

¹ Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag 54001, Durban, 4000, South Africa
² Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 10 November 2016
Accepted: 24 July 2017
Published online: 9 August 2017

Abstract

As we know that the Lovelock theory is an extension of the general relativity to the higher-dimensions, in this theory the first- and the second-order terms correspond to general relativity and the Einstein–Gauss–Bonnet gravity, respectively. We obtain a 5D black hole solution in Einstein–Gauss–Bonnet 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 , with the stable (unstable) branch for .