WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
Friedmann-Robertson-Walker with Categorization of Scale Factor by Noether’s Method
Authors: ,
Abstract: Friedmann-Robertson-Walker (FRW) models represent behavior of universe. Expansion of universe could be better understood by considering Robertson-Walker scale factor m and m(t) where t represents time. Here FRWspacetime was classified by using Noether’s guage symmetries.The behavior of spacetime was different for different kinds of universe i.e. closed, open, and flat. These types are defined according to curvature parameter c. For closed universe c=-1, for open universe c=1, and for flat universe c=0 . We obtained nontrivial symmetries for distinct values of scale factor . With the help of Noether equation and Perturbed Lagrangian a system of partial differential equations was acquired . For the universe as defined above, largest set and least set of Noether operators were obtained. Every operator has integral of motion.
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Pages: 47-52
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #5