No Violation of the Second Law in Extended Black Hole Thermodynamics

Abstract

Recently a number of papers have claimed that the horizon area - and thus the entropy - of near extremal black holes in anti-de Sitter spacetimes can be reduced by dropping particles into them. In this note we point out that this is a consequence of an underlying assumption that the energy of an infalling particle changes only the internal energy of the black hole, whereas a more physical assumption would be that it changes the enthalpy (mass). In fact, under the latter choice, the second law of extended black hole thermodynamics is no longer violated.

arXiv comment4 pages

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• From black hole to white hole via the intermediate static state
• Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling
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• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Weak cosmic censorship conjecture in BTZ black holes with scalar fields
• Event Horizon Wrinklification
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Black branes in asymptotically Lifshitz spacetimes in $\kappa$-deformed Horndeski gravity
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• Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
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