Abstract
We consider multidimensional theories where the extra dimensions are permitted to be time-like. The study is carried out entirely on the classical level. The inexistence of any effect due to the changing of signature of internal dimensions is shown in the case of a pure geometric theory with a flat internal space; when the internal manifold has an intrinsic curvature or when an external field is coupled to gravity, some solutions that are unphysical with a space-like internal manifold become physical with a time-like one. The case where gravity is coupled to a Maxwell-type field in five dimensions is studied in detail. In the spherically symmetric space-time, we find a naked singularity solution. There is also a class of cosmological solutions with an initial singularity which are stable.
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.
