  In a series of articles we describe a novel class of geometrical models of
relativistic stars. Our approach to the static spherically symmetric solutions
of Einstein equations is based on a careful physical analysis of radial gauge
conditions. It brings us to a two parameter family of relativistic stars
without stiff functional dependence between the stelar radius and stelar mass.
It turns out that within this family there do exist relativistic stars with
arbitrary large mass, which are to have arbitrary small radius and arbitrary
small luminosity. In addition, point particle idealization, as a limiting case
of bodies with finite dimension, becomes possible in GR, much like in Newton
gravity.
