Abstract
This paper is devoted to examine a special case of Walker metric on a 4-dimensional manifold, and some of its curvature properties are studied, e.g., conditions for a Walker metric to be Einstein or locally conformally flat. Finally, a necessary and sufficient condition for a function c(x, y, z, t) of Walker metric of 4-dimensional manifold to have vector field X on M to be a Killing vector field, is constructed.
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.
