Abstract
In the first part of this paper, we review the most important properties of the axisymmetric and stationary solutions of Einstein's vacuum field equations, the solution generating techniques developed in the last few years the relativistic definitions of multipole moments, and their use for obtaining and investigating static and stationary axisymmetric vacuum solutions. In the second part, we derive the general static axisymmetric vacuum solution in prolate spheroidal coordinates. Finally, this solution with all mass multipole moments is generalized to include a further parameter related to the rotation of the mass. This stationary solution can be used in order to describe the exterior gravitational field of a rotating deformed mass.
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.
