Van der Waals black hole

Abstract

In the context of extended phase space, where the negative cosmological constant is treated as a thermodynamic pressure in the first law of black hole thermodynamics, we find an asymptotically AdS metric whose thermodynamics matches exactly that of the Van der Waals fluid. However, we show that as a solution of Einstein's equations, the corresponding stress energy tensor does not obey any of the energy conditions everywhere outside of the horizon.

4 pages, 1 figure v3: corrected statements about energy conditions

References in corpus (3)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Holographic stress tensor for non-relativistic theories

Cited by in corpus (7)

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• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• P-V criticality in AdS black holes of massive gravity
• Van Der Waals Black Holes in $d$ dimensions
• Thermodynamic Volume of Cosmological Solitons
• Enthalpy, Geometric Volume and Logarithmic correction to Entropy for Van-der-Waals Black Hole