Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions

Abstract

Treating the cosmological constant as thermodynamic pressure and its conjugate as thermodynamic volume, we investigate the critical behavior of the third order Lovelock black holes in diverse dimensions. For black hole horizons with different normalized sectional curvature $k=0,\pm 1$, the corresponding critical behaviors differ drastically. For $k=0$, there is no critical point in the extended thermodynamic phase space. For $k=-1$, there is a single critical point in any dimension $d\ge 7$, and for $k=+1$, there is a single critical point in $7$ dimension and two critical points in $8,9,10,11$ dimensions. We studied the corresponding phase structures in all possible cases.

pdflatex, 22 pages, 36 eps figures included. V2: minor corrections and new references

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• Critical behavior of Gauss-Bonnet black holes via an alternative phase space
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• Thermodynamic geometry of pure Lovelock black holes
• Ehrenfest Scheme of Higher Dimensional Topological AdS Black Holes in The Third Order Lovelock-Born-Infeld Gravity
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• Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space
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