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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Hennigar, R.A., Tjoa, E. & Mann, R.B. Thermodynamics of hairy black holes in Lovelock gravity. J. High Energ. Phys. 2017, 70 (2017). https://doi.org/10.1007/JHEP02(2017)070
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DOI: https://doi.org/10.1007/JHEP02(2017)070