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.

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

References in corpus (3)

• The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
• On the interaction between two Kerr black holes
• Exact solution for the simplest binary system of Kerr black holes

Cited by in corpus (4)

• Tidal Forces in Majumdar-Papapetrou Spacetimes
• 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