Unequal binary configurations of interacting Kerr black holes

Abstract

Stationary axisymmetric binary configurations of unequal Kerr sources with a massless strut among them are developed in a physical representation. In order to describe interacting black holes, the axis conditions in the most general case are solved analytically deriving the corresponding $5$-parametric asymptotically flat exact solution. In addition, we obtain concise formulas for the black hole horizons, the interaction force, as well as the thermodynamical characteristics of each source in terms of physical Komar parameters: mass $M_i$, angular momentum $J_i$, and coordinate distance $R$, where such parameters are contained inside of the coefficients of a cubic equation which can be interpreted as a dynamical law for interacting black holes with struts. Some limits are obtained and discussed.

9 pages, 3 figures

References in corpus (3)

• Shadows of Exact Binary Black Holes
• Dynamical and Thermodynamical Aspects of Interacting Kerr Black Holes
• Exact solution for the simplest binary system of Kerr black holes

Cited by in corpus (10)

• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• Thermodynamics of two black holes
• Metric for two arbitrary Kerr sources
• Tidal Forces in Majumdar-Papapetrou Spacetimes
• Energy Extraction From Non-Coalescing Black Hole Binaries
• Thermodynamics of two aligned Kerr black holes
• Self-force on a static particle near a black hole
• Particle hanging on a string near a Schwarzschild black hole
• Corotating binary systems of identical Kerr-Newman black holes
• Unequal binary configurations of interacting Kerr-Newman black holes