Abstract
It is shown that if ĝAB is an exact solution of the Einstein vacuum field equations in 4 + 1 dimensions, R^AB = 0, and lA is a null vector field, then ĝAB + lAlB is also an exact solution of the Einstein equations R^AB = 0 if and only if the perturbation lAlB satisfies the Einstein equations linearized about ĝAB. Then, making use of the Kaluza–Klein approach, it is shown that this result allows us to obtain exact solutions of the Einstein–Maxwell equations (possibly coupled to a scalar field) by solving a system of linear equations.
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.
