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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

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

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    gr-qc 2026-07 conditional novelty 4.0 of 10

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  3. Topological Thermodynamics of Generalized Bardeen Black Hole

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularizati...

  4. Topological Thermodynamics of Generalized Bardeen Black Hole

    gr-qc 2026-05 unverdicted novelty 3.0 of 10

    Topological classification via winding numbers of a vector field from generalized off-shell free energy shows regular Bardeen black holes have two opposite defects and zero total charge while Schwarzschild has one uns...

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