Lovelock black holes surrounded by quintessence

Abstract Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A scalar field with a positive potential that yields an a...

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Bibliographic Details
Main Authors: Sushant G. Ghosh, Sunil D. Maharaj, Dharmanand Baboolal, Tae-Hun Lee
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5570-1
Description
Summary:Abstract Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A scalar field with a positive potential that yields an accelerating universe has been termed quintessence. We present exact black hole solutions in D-dimensional Lovelock gravity surrounded by quintessence matter and also perform a detailed thermodynamical study. Further, we find that the mass, entropy and temperature of the black hole are corrected due to the quintessence background. In particular, we find that a phase transition occurs with a divergence of the heat capacity at the critical horizon radius, and that specific heat becomes positive for $$r_h<r_c$$ rh<rc allowing the black hole to become thermodynamically stable.
ISSN:1434-6044
1434-6052