Abstract
In this paper, we obtain a new class of axially symmetric cosmological mesonic stiff fluid models in the context of Lyra’s geometry. Expressions for the energy, pressure, and the massless scalar field are derived by considering the time-dependent displacement field. The obtained solutions represent shearing, nonrotating, and expanding with time, t. Moreover, they do not approach isotropy for large time, t. We find also that the mesonic scalar field depends only on the time coordinate, t.