Thermodynamic Volume of Cosmological Solitons

Abstract

We present explicit expressions of the thermodynamic volume inside and outside the cosmological horizon of Eguchi-Hanson solitons in general odd dimensions. These quantities are calculable and well-defined regardless of whether or not the regularity condition for the soliton is imposed. For the inner case, we show that the reverse isoperimetric inequality is not satisfied for general values of the soliton parameter $a$, though a narrow range exists for which the inequality does hold. For the outer case, we find that the mass $M_{out}$ satisfies the maximal mass conjecture and the volume is positive. We also show that, by requiring $M_{out}$ to yield the mass of dS spacetime when the soliton parameter vanishes, the associated cosmological volume is always positive.

16 pages, 2 figures, 3 tables

References in corpus (18)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Superfluid Black Holes
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Effects of dark energy on P-V criticality of charged AdS black holes
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Isolated critical point from Lovelock gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Van der Waals black hole
• Ehrenfest scheme for $P-V$ criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes
• Van Der Waals Black Holes in $d$ dimensions
• Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity
• Geometric Thermodynamics of Kerr-AdS black hole with a Cosmological Constant as State Variable

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