Speaker
Description
Following the assumption that the expansion of the Raychudhuri equation in a geometry
wider than the Riemannian geometry might avoid the space singularity often associated
with various astrophysical models, we aim in the present script at deriving the expansion
and its temporal variation in the parametrized absolute parallelism geometry out approach
utilizes a modified version of geodesic, and also a modified version of the Raychudhuri
equation. We also use the generalized definition of expansion in the modified Raychaud-
huri equation to get the expansion and its temporal evolution in parameterized absolute
parallelism geometry. Here, we use a geometric structure based on absolute parallelism
geometry together with the metric of Riemannian space, associated with this structure.
We obtained a general form of the expansion. This form matches with the expansion in
the case of radial, marginally bound, time-like geodesics of the Schwarzschild space-time
in the Riemannian geometry.
