Hitherto, Cosmologists have been able to explain some observed facts about the universe such as the origin of cosmic background radiation, the formation of galaxies and the large scale structure of Universe. But some currently observed facts require a refined model to be adequately explained. One such fact is the 73% dark energy, 23% dark matter, and 4% baryon composition of the Universe. Theoretical physicists are making fervent attempts to explain some of these facts by introducing the idea of fields as a source of these newly observed objects such as dark energy. It is thought that the best field candidates are diffeomorphism fields. However, many obstacles prevent them from extracting complete information of Universe from the formulated algebras (Virasoro and Kac-Moody) that individually govern coordinate and gauge transformations. One problem that exists today is the incorporation of the potential four-vector in the formulation of Lagrangian. Hence, under the supervision of my mentor, I intend to do the following:

Correctly determine how to include the vector potential into the Lagrangian. Compute the effects of spherical solutions on early Universe Cosmology.

It is our belief that the fulfillment of these goals are essential in the quest to unravel and explain many facts about the Universe.