Higher Dimensional FRW Cosmology with Variable G and Λ

Abstract

We have considered higher dimensional cosmological models of the FRW model with variable G and . The solutions have been obtained for flat model with particular form of cosmological constant. The cosmological parameters have also been obtained for dust, radiation and stiff matter. Physical parameters of the models are discussed.

The no-boundary proposal via the five-dimensional Friedmann-Lemaitre-Robertson-Walker model

“…Turning now to the five-dimensional spatially homogeneous and isotropic FLRW metric, we have, according to Ref. [2],…”

“…Ref. [2] makes the usual assumption that any extra spatial dimension has been compacted to small size in the course of the evolution of the Universe. Since the extra dimension does not participate in the expansion, more realistic line elements are obtained by leaving a 2 (t) in the original position:…”

“…Given that imaginary time is orthogonal to ordinary time, one could view imaginary time as an extra dimension. The existence of an extra dimension suggests a different starting point, the five-dimensional Friedmann-Lemaître-Robertson-Walker model (FLRW) [2]. This model produces a simple alternative version of the no-boundary proposal.…”

Magnetized Anisotropic Dark Energy Bianchi Type III Cosmological Models in Brans-Dicke Theory of Gravitation

“…Several authors [12][13][14][15] studied dark energy models for Bianchi Type III cosmological model in the context of general relativity. Among the various modifications of general relativity (GR), the scalar-tensor theories of gravitation proposed by Brans-Dicke [1], Nordvedt [16], Lyra [17], Sen and Dunn [18] and Saez-Ballester [19].…”

Bianchi type-V cosmology with magnetized anisotropic dark energy

“…Yadav [21] examined Bianchi type-III anisotropic dark energy models with constant deceleration parameter. Bianchi type-III magnetized anisotropic dark energy models with constant deceleration parameter and dark energy models with anisotropic fluid in Bianchi type-V I 0 with time dependent deceleration parameter have been investigated by Tade et al [22] and Pradhan et al [23] respectively. Saha [24] has studied the evolution of the universe filled with dark energy within the scope of a Bianchi type-V model.…”