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arXiv · 2007.02918

Thermodynamics of two aligned Kerr black holes

C. J. Ramírez-Valdez·H. García-Compeán·V. S. Manko
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Abstract

We investigate the first law of thermodynamics in the stationary axisymmetric configurations composed of two Kerr black holes separated by a massless strut. Our analysis employs the recent results obtained for the extended double-Kerr solution and for thermodynamics of the static single and binary black holes. We show that, similar to the electrostatic case, in the stationary binary systems the thermodynamic length $\ell$ is defined by the formula $\ell=L\exp(\gamma_0)$, where $L$ is the coordinate length of the strut, and $\gamma_0$ is the value of the metric function $\gamma$ on the strut.

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C. J. Ramírez-Valdez, H. García-Compeán, V. S. Manko. 2020-07-06. Thermodynamics of two aligned Kerr black holes. https://doi.org/10.1103/physrevd.102.024084

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