Abstract
Axially symmetric, stationary solutions of the Einstein–Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the corresponding boundary-value problem. This problem is reduced to a nonlinear system of algebraic equations which gives relations between the masses, the angular momenta, the angular velocities, the charges, the distance parameters and the values of the electromagnetic field potential at the horizon and at the symmetry axis. A solution obtained for this system for the case of two charged non-rotating black holes shows that, in general, the total mass depends on the distance between the black holes. A two-Killing reduction procedure of the Einstein–Maxwell equations is also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
