Abstract
It has been proven that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of minus a ball, is asymptotically flat. The matter is assumed to be compactly supported and no energy condition is required. A similar (though stronger) result also applies to black holes. This allows us to state a large generalization concerning the uniqueness of the Schwarzschild solution in not requiring asymptotic flatness. The Korotkin–Nicolai static black-hole shows that for the given generalization, no further flexibility in the hypothesis is possible.
Sign-in/Register to access full text options 
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.
