Abstract
The physical radius appearing in spherically symmetry co-moving metric is interpreted in terms of a complex scalar field. The corresponding scalar field equation is formulated in the same space-time defined by the physical radius. There follows a highly non-linear scalar field equation that can be reduced to separated radial and time equations. The general integral of the separated radial equation is determined in case of real field. The same for the separated real massless time equation. Particular complex solutions are also given. It is shown that the real solutions of the scheme are not solutions of the Einstein and scalar field equations coupled in the conventional way. They can be interpreted as generating possible cosmologies with self-settling gravitational field. As to the complex solutions, they satisfy an “orthonormality” relation, similar to the one that defines the normal modes of field equation in curved space-time. This suggest the idea of possible quantization of the physical radius field. Owing to non-linearity, the procedure seems difficult to perform and to be set up completely.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.