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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

On the thermodynamics of the Hayward black hole

classification gr-qc astro-ph.HE
keywords haywardblackfunctionholelapsequantitiesthermodynamicvariable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

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