Five Dimensional String Universes in Lyra Manifold

Abstract

Considering five dimensional plane symmetric metric, we discuss a model universe with different situations, by solving the modified Einstein field equations within the framework of Lyra geometry. We obtain many interesting realistic solutions governing the present day model of the universe. Physical and kinematical properties of the models are discussed in detail.

Bianchi type-III cosmological model with quadratic EoS in Lyra geometry

“…Halford [46,47] recommended that the cosmological constant in the general theory of relativity and the constant displacement vector field φ i in Lyra's geometry perform the same role and the scalar-tensor treatment in the framework of Lyra's geometry expect the identical result, within observational limits as predicted by Einstein's theory of relativity. Bhamra [48], Karade and Borikar [49], Rahaman [50], Khadekar and Nagpure [51], Rahaman et al [52], Casana et al [53,54], Mohanty et al [55,56], Shchigolev [57], Mahanta et al [58], Darabi et al [59], Mollah et al [60], Mollah and Priyokumar [61] etc. are the some authors who studied Einstein's field equations of gravitation in the framework of Lyra's geometry and obtained their solutions effectively under different circumstances.…”

Could the Lyra manifold be the hidden source of the dark energy?

“…Also, as in the Einstein's theory of relativity, the scalar-tensor treatment based on Lyra's geometry predicts the same effect, within observational limits, as far as the classical solar system test are concerned. any authors (Rahaman et al [37,38], Casana et al [39,40] , Mohanty et al [41,42] , Mahanta et al [43], Asgar et al [44], Mollah et al [45], Mollah and Priyokumar [46]) attempted to solve Einstein's field equations in the framework of Lyra's geometry and successfully find their solutions under different circumstances.…”