  Non Conventional treatments in modern cosmology, in both Steady State and Big
Bang, are given. The motivation behind these treatments is to solve some of the
problems of the conventional treatments in cosmology. For this aim, different
geometric structures and alternative field theories, used to construct world
models, are given. A brief review of Absolute parallelism (AP) geometry and its
parameterized version(PAP), as a wider geometry than the Riemannian one, is
presented. World models constructed using alternative field theories,
constructed in the AP geometry, are discussed and compared. Some points about
using topology in the field of cosmology are commented. A new path equation,
admitted by the PAP geometry, is used to get the effect of spin-gravity
interaction on the cosmological parameters.
