Black hole chemistry: thermodynamics with Lambda
Top Cited Papers
- 2 March 2017
- journal article
- review article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 34 (6), 063001
- https://doi.org/10.1088/1361-6382/aa5c69
Abstract
We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach, the mass of the black hole is no longer regarded as internal energy, rather it is identified with the chemical enthalpy. This leads to an extended dictionary for black hole thermodynamic quantities; in particular a notion of thermodynamic volume emerges for a given black hole spacetime. This volume is conjectured to satisfy the reverse isoperimetric inequality—an inequality imposing a bound on the amount of entropy black hole can carry for a fixed thermodynamic volume. New thermodynamic phase transitions naturally emerge from these identifications. Namely, we show that black holes can be understood from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. We also review the recent attempts at extending the AdS/CFT dictionary in this setting, discuss the connections with horizon thermodynamics, applications to Lifshitz spacetimes, and outline possible future directions in this field.Keywords
Funding Information
- Natural Sciences and Engineering Research Council of Canada
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario
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