Abstract
The Friedmann-Lemaître-Robertson-Walker (FLRW) spacetimes can be realized as submanifolds of R6. In this paper, we relate the Laplace-Beltrami operator for a homogeneous scalar field ϕ of R6 to its explicit restriction on FLRW spacetimes. We then make the link between the homogeneous solutions of the equation □6ϕ=0 in R6 and those of the Klein-Gordon equation (□f−ξRf+m2)ϕf=0 for the free field ϕf in the FLRW spacetime. We obtain as a byproduct a formula for the Ricci scalar of the FLRW spacetime in terms of the function f defining this spacetime in R6.
Sign-in/Register to access full text options 
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.
