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Black hole chemistry: thermodynamics with Lambda

Canonical reference. 85% of citing Pith papers cite this work as background.

26 Pith papers citing it
737 external citations · Pith
Background 85% of classified citations
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.

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2026 19 2025 7

representative citing papers

Rotating End of the World

hep-th · 2026-04-26 · unverdicted · novelty 6.0

Dynamical EoW branes in rotating BTZ black holes are mapped to JT gravity, yielding BCFT thermodynamics and indicating possible interior transitions between single and double-joint configurations.

Gravitational constant as a conserved charge in black hole thermodynamics

hep-th · 2025-09-10 · conditional · novelty 6.0

Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.

Properties of black holes in non-linear electrodynamics

hep-th · 2026-04-15 · unverdicted · novelty 5.0 · 2 refs

Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.

Holographic pressure and volume for black holes

hep-th · 2026-02-04 · unverdicted · novelty 5.0

Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.

Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics

gr-qc · 2026-05-15 · unverdicted · novelty 4.0

Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.

A Note on Chaos in Hayward Black Holes with String Fluids

gr-qc · 2025-07-03 · unverdicted · novelty 4.0

Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.

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