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arXiv · 1612.06852

Thermodynamics of hairy black holes in Lovelock gravity

Robie A. Hennigar·Erickson Tjoa·Robert B. Mann
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Abstract

We perform a thorough study of the thermodynamic properties of a class of Lovelock black holes with conformal scalar hair arising from coupling of a real scalar field to the dimensionally extended Euler densities. We study the linearized equations of motion of the theory and describe constraints under which the theory is free from ghosts/tachyons. We then consider, within the context of black hole chemistry, the thermodynamics of the hairy black holes in the Gauss-Bonnet and cubic Lovelock theories. We clarify the connection between isolated critical points and thermodynamic singularities, finding a one parameter family of these critical points which occur for well-defined thermodynamic parameters. We also report on a number of novel results, including `virtual triple points' and the first example of a `$λ$-line'---a line of second order phase transitions---in black hole thermodynamics.

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Robie A. Hennigar, Erickson Tjoa, Robert B. Mann. 2017-02-21. Thermodynamics of hairy black holes in Lovelock gravity. https://doi.org/10.1007/jhep02(2017)070

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