Abstract
We describe a proof of M.T. Anderson’s result (Anderson, 2000) on the rigidity of complete stationary initial data for the Einstein vacuum equations in spacetime dimension 3 + 1 , under an extra assumption on the norm of the stationary Killing vector field. The argument only involves basic comparison geometry along with some Bochner–Weitzenböck formula techniques. We also discuss on the possibility to extend these techniques to higher dimensions.
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.
