Thermodynamics of two aligned Kerr black holes

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.

arXiv comment14 pages, 3 figures; revised version accepted for publication in PRD

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• Energy Extraction From Non-Coalescing Black Hole Binaries
• Thermodynamics of two aligned Kerr-Newman black holes
• Particle hanging on a string near a Schwarzschild black hole