Five Dimensional Bianchi Type-I Anisotropic Cloud String Cosmological Model With Electromagnetic Field in Saez-Ballester Theory

Abstract

Within the context of Saez-Ballester theory, we explored the interaction of a five-dimensional Bianchi type-I anisotropic cloud string cosmological model Universe with an electromagnetic field. With an electromagnetic field, the energy momentum tensor is assumed to be the sum of the rest energy density and string tension density in this paper. We use the average scale factor as an integrating function of time to get exact answers to Saez-Ballester equations. The dynamics and importance of the model’s many physical parameters are also examined.

String Viscous Fluid Cosmological Model in the Framework of Sen-Dunn Theory of Gravitation

“…The anisotropy parameter behaves the same as model 4 − 20(cosh(at)) 2 (sinh(at)) 2 − 15(cosh(at)) 4 (cosh(at)) 4 (50)…”

“…Lerk parameter l (t) = 76(sinh(at)) 4 − 180(cosh(at)) 2 (sinh(at)) 2 + 105(cosh(at)) 4 (cosh(at)) 4 (51)…”

“…So, at the early era of universe higher dimensional cosmological models play an important role. Daimary and Baruah (4) . In the usual four dimensional space-times gravitational force cannot be unified with the other natural forces.…”

Noncompactified Kaluza–Klein Gravity

“…In contrast to the latter, the SB theory includes the action of ordinary matter that is not coupled to the SB scalar field. Various cosmological models have been established in the context of the SB theory to study open problems in both the classical and quantum regimes [49][50][51][52][53][54]. Applying the similar reduction procedure used to construct the MBDT, without assuming the presence of the higher dimensional matter fields and imposing the cylindricity condition on the extra coordinate, it has been shown that the SB field equations associated to the bulk split into four sets of effective field equations on any hypersurface orthogonal to the extra dimension [9].…”

“… 53). We note that in deriving the total energy density, we have used Equations (4.34), (4.35) and (4.46)-(4.49).…”