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Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt

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arxiv 1405.5941 v3 pith:SEXDMFCZ submitted 2014-05-23 hep-th gr-qc

Clifford V. Johnson This is my paper · ORCID
classification hep-thgr-qc
keywords thermodynamicspacetimedynamicalgravitationalnegativesolutionstaub-nutvolumes
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In theories of semi-classical quantum gravity where the cosmological constant is considered a thermodynamic variable, the gravitational mass of a black hole has been shown to correspond to the enthalpy of the thermodynamic system, rather than the energy. We propose that this should be extended to all spacetime solutions, and consider the meaning of this extension of gravitational thermodynamics for the Taub-NUT and Taub-Bolt geometries in four dimensional locally anti-de Sitter spacetime. We present formulae for their thermodynamic volumes. Surprisingly, Taub-NUT has negative volume, for which there is a natural dynamical explanation in terms of the process of formation of the spacetime. A special case corresponds to pure AdS_4 with an S^3 slicing. The same dynamical setting can explain the negative entropy known to exist for these solutions for a range of parameters.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.

  2. Kerr-NUT Thermodynamics: Misner Strings and Nut Charges

    gr-qc 2026-08 conditional novelty 4.0 of 10

    A conserved charge built from the nut parameter and the Misner string parameter completes the first law of Kerr-NUT thermodynamics.

  3. The first law of black hole thermodynamics for Taub-NUT spacetime

    gr-qc 2019-08 conditional novelty 4.0 of 10

    The NUT parameter n is reinterpreted as producing rotation along Misner strings, giving a modified first law dM = T d(A/4G) + (1/n)d(Mn) - (1/(2n))d(nr+/G) for Lorentzian Taub-NUT spacetime.

  4. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0 of 10

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...

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