“…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.…”