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Black Hole Enthalpy and Scalar Fields

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arxiv 1807.09801 v1 pith:EJBBMLDG submitted 2018-07-25 gr-qc hep-th

Black Hole Enthalpy and Scalar Fields

David Kastor , Sourya Ray , Jennie Traschen This is my paper
classification gr-qc hep-th
keywords blackscalardilaton-adsenthalpyfieldholeholesmass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The mass of an AdS black hole represents its enthalpy, which in addition to internal energy, generally includes the energy required to assemble the system in its environment. In this paper, we consider black holes immersed in a more complex environment, generated by a scalar field with an exponential potential. In the analogue of the AdS vacuum, which we call dilaton-AdS, the scalar field has non-trivial behavior, breaking the hyperscaling symmetry of AdS and modifying the asymptotic form of the spacetime. We find that the scalar field falloff at infinity makes novel contributions to the ADM mass and spatial tensions of dilaton-AdS black holes. We derive a first law and Smarr formula for planar dilaton-AdS black holes. We study the analogue of thermodynamic volume in this system and show that the mass of a black hole again represents its enthalpy.

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Cited by 2 Pith papers

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  1. A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\left(2,3,0\right)$ Dark Matter Halos

    gr-qc 2026-07 conditional novelty 4.5

    An exact Schwarzschild-like black hole embedded in a King dark-matter halo is obtained from Einstein’s equations and shown to enlarge the photon sphere, shadow, and thermodynamic stability region relative to vacuum.

  2. Thermodynamics of Einstein-Geometric Proca AdS compact objects

    gr-qc 2025-09 reject novelty 4.0

    Thermodynamic quantities for Einstein-Geometric Proca AdS compact objects are derived and plotted, but the first law of thermodynamics is not satisfied for generic parameters.