Higher-dimensional cosmological model with variable gravitational constant and bulk viscosity in Lyra geometry

Non-Existence of Five Dimensional Perfect Fluid Cosmological Model in Lyra Manifold

“…The extra dimensions reduced to a volume of the order of the Planck length with the passage of time, which are not observable at the present stage of the universe. Freund (1982), Appelquist and Chodos (1983), Randjbar Daemi et al (1984), Rahaman et al (2002a) and Singh et al (2004) claimed through the solutions of the field equations that there is an expansion of four dimensional space time while fifth dimension contracts or remains constant. Further Guth (1981) and Alvarez and Gavela (1983) observed that during contraction process extra dimensions produce large amount of entropy, which provides an alternative resolution to the flatness and horizon problem, as compared to usual inflationary scenario.…”

“…Further Rahaman et al (2003b) constructed five dimensional string cosmological model in Lyra's geometry. Singh et al (2004) constructed five dimensional cosmological model with variable G and bulk viscosity in Lyra geometry.…”

Spinorial Field and Lyra Geometry

“…The study of this geometry was completed by Lyra (1951) and Scheibe (1952), it was analyzed by several others as an alternative to describe the gravitational field, and more recently it has been applied to study viscous and higher dimensional (Pradhan and Pandey gr-qc/0307038; Khadekar and Nagpure GR-GC/0111096; Singh et al, 2004; cosmological models, domain walls (Pradhan et al, 2003;Rahaman and Ghosh, 2004), and several others applications. The attractive of Lyra's geometry resides in the fact that the torsion is propagating which in the context of spingravitational coupling is interesting.…”

Higher Dimensional Topological Defect Solutions with Quark Matter in Gravitation Theories

“…Singh et.al. have examined effect of bulk viscous and G for five dimensional universe model in Lyra geometry [20]. Samanta and Debata have studied Bianchi I universe with strings in framework Lyra geometry [21].…”