Executive Summary : | The mass discrepancy arises because the estimated mass as estimated from the observational data is more than the visible mass in stars and gas. It is beleived that there can be two reasons behind this discrepancy, either a large amount of dark matter is existing in the universe or the Newtonian dynamics is inadequate on certain scales. Consequently there are attempts to modify the theory of gravity in order to deal with the missing mass problem and the idea of dark matter and dark energy. For a deeper insight of the large scale structure of the universe the proposal is here dedicated to a deeper understanding of the large scale clustering of galaxies and structure formation in the light of various modifications of the gravity. Besides taking different modified potentials ,the astro plasma and the neutrino cosmology will be taken as a special part of the project. Different methods of evaluating the all time divergent configurational integrals will be the computational challenge of the proposal. The mean field theory will be extensively involved for extracting the physics from various theories of gravity. Detailed thermodynamics of the universe will be among the prioritised areas of our proposal. A new direction in the theory of clustering will be analyzed by studying structure formation in the presence of the magnetic field, since it is beleived that intergalctic gas is magnetized. There is a strong belief regarding the presence of magnetic field in most of the galaxy clusters. The present project will take the challenging and open task for exploring the magnetic origin of our universe. The search for observational and experimental data supporting our theory will be given a pivotal space. The present project is an attempt to understand modified theories in more details. A detailed mathematical and theoretical comprehension is needed to propose the best alternative theories of gravity or there is a need to develop new mathematical extensions to study the large scale structure of the universe. |