Bianchi type-I cosmological model in Sáez-Ballester theory with variable deceleration parameter

Anisotropic L. R. S. Bianchi type-V Cosmological Models with Bulk Viscous String within the Framework of Saez-Ballester Theory in Five-Dimensional Spacetime

“…The study of Bianchi-type models in scalar-tensor gravity theories is also fuelling interest in anisotropic cosmological models of the universe. Several authors have studied Bianchi models and various parts of the Saez-Ballester theory of gravitation [49][50][51][52][53][54][55][56][57][58][59].…”

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“…We also believe that this gravity theory provides an adequate description of the weak fields and a solution of missing matter cosmological problem in non-flat cosmology. Various authors including our own peer research group have constructed models of the universe in Sáez-Ballester theory and published fruitful results [11][12][13][14][15][16][17].…”

“…Therefore, DP is a time-variable quantity. Many authors have investigated cosmological models with time-dependent DP and discussed the dynamic nature of the universe [13,17,[43][44][45][46]. Recently Mishra et al [47] have constructed FRW models of the universe in Brans-Dicke theory with bilinear varying deceleration parameter (BVDP).…”

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].…”