Where is the PdV term in the fist law of black hole thermodynamics

@article{Dolan2012WhereIT,
  title={Where is the PdV term in the fist law of black hole thermodynamics},
  author={Brian P. Dolan},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2012}
}
  • B. Dolan
  • Published 6 September 2012
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
Traditional treatments of the first law of black hole thermodynamic s do not include a discussion of pressure and volume. We give an overview of re cent developments proposing a definition of volume that can be used to ex tend the first law to include these appropriately. New results are also pre senting relating to the critical point and the associated second order phas e transition for a rotating black-hole in four-dimensional space-time which is asy mptot- ically anti-de Sitter… 

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References

SHOWING 1-10 OF 50 REFERENCES

Pressure and volume in the first law of black hole thermodynamics

The mass of a black hole is interpreted, in terms of thermodynamic potentials, as being the enthalpy, with the pressure given by the cosmological constant. The volume is then defined as being the

Stringy Generalization of the First Law of Thermodynamics for Rotating BTZ Black Hole with a Cosmological Constant as State Parameter

In this paper we will show that using the cosmological constant as a new thermodynamical state variable, the differential and integral mass formulas of the first law of thermodynamics for asymptotic

Enthalpy and the mechanics of AdS black holes

We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related

The first laws of thermodynamics of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes

We investigate the first law of thermodynamics in the case of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes, in particular, we focus on the integral mass formulas. It is found

Compressibility of rotating black holes

Interpreting the cosmological constant as a pressure, whose thermodynamically conjugate variable is a volume, modifies the first law of black hole thermodynamics. Properties of the resulting

Holography, thermodynamics, and fluctuations of charged AdS black holes

The physical properties of Reissner-Nordstrom black holes in (n11)-dimensional anti-de Sitter spacetime are related, by a holographic map, to the physics of a class of n-dimensional field theories

P − V criticality of charged AdS black holes

A bstractTreating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We

Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant

We study the thermodynamic properties associated with the black hole event horizon and the cosmological horizon for black hole solutions in asymptotically de Sitter spacetimes. We examine

Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

A bstractWe investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an

Charged AdS black holes and catastrophic holography

We compute the properties of a class of charged black holes in anti--de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged