Abstract
It is shown that there exist no Petrov type D space-times on which the conformally invariant scalar wave equation, or Maxwell's equations or Weyl's neutrino equation satisfies Huygens' principle. For Petrov type III space-times, it is shown that the validity of Huygens' principle for any of these equations implies that the space-time is conformally related to one in which the repeated principal null vector field of the Weyl tensor is recurrent.
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.
