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On the thermodynamics of the Hayward black hole

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arxiv 2101.07917 v1 pith:ZIRFBOGZ submitted 2021-01-20 gr-qc astro-ph.HE

Martín Molina , J.R. Villanueva This is my paper · ORCID
classification gr-qcastro-ph.HE
keywords haywardblackfunctionholelapsequantitiesthermodynamicvariable
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abstract

In light of the growing interest in the Hayward black hole solution, a detailed study on the corresponding lapse function and its roots is presented. The lapse function is expressed in terms of the classical Schwarzschild radius $r_s$ and the Hayward's parameter $l$. Both of these quantities are used as thermodynamic variables to find related thermodynamic quantities. In this context, the variable $l$ is associated with a canonical conjugate variable $\mathcal{F}_H$, and a free energy $\Xi$. Moreover, a second order phase transition is found to appears at $l\approx0.333\,r_s$.

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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. $\tt GrayHawk$: A public code for calculating the Gray Body Factors of massless fields around spherically symmetric Black Holes

    gr-qc 2025-02 conditional novelty 6.0 of 10

    A new public Mathematica tool, GrayHawk, computes gray-body factors for massless spin 0, 1/2, 1, and 2 fields around seven spherically symmetric, asymptotically flat black hole metrics.

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    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  3. Regular Black Hole Formation and Gamma-Ray Burst from Matter Conversion

    gr-qc 2026-07 conditional novelty 4.0 of 10

    The formation of a regular black hole could release gamma-ray-burst-scale energy only if its singularity-avoiding core is a weak perturbation of Schwarzschild.

  4. Formation of regular black hole from baryonic matter

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A family of regular black hole collapse solutions is built by imposing a de Sitter core and matching to a Husain exterior; the shadow radius grows with the barotropic parameter alpha.

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