The application of techniques of many body problems and relativistic quantum field theory to the behaviour of matter in a highly condensed state with particular reference to the very early state of the Universe, black-holes and neutron star

A framework is set up to investigate the superdense state of matter as realized in a Black Hole, a Neutron Star and the Early State of the Universe. A relativistic scalar field Langrangian model of a collapsing star is used to study Einstein's field equation at the semi-classical level. A Special relativistic Green's function equation of transport in close analogy with Boltzmann's equation of transport is developed to study non-equilibrium statistical thermodynamics and a possible quantum field theoretic approach to equilibrium statistical mechanics is outlined. The solutions of the scalar field equation in a given curved space-time are discussed. A Usub(L)(2) x Usub(G)(2) gauge invariant Langrangian model is set up to study degenerate superdense matter as realized in a Neutron Star. Using this model a special relativistic many-body theory is developed in close analogy with non-relativistic many-body theory. (author)