Abstract

An investigation is made of fourteen space–times given by Dubourdieu which admit holonomy groups. It is shown that, although nine of these space–times admit only trivial vacuum gravitational fields, the remaining ones are of Bel–Petrov types III and N. Many of the latter metrics can be identified with known exact solutions of the source-free Einstein equations including the Kerr–Goldberg metric and certain type III metrics recently studied by the authors.

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 call

Disclaimer: 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.