Preliminary Quasar Model Based on the Yilmaz Exponential Metric

Abstract

A partially collapsed spherical matter distribution is analyzed with the aid of an integral equation for the gravitational potential, derived from the Yilmaz exponential metric. This metric equals the Schwarzschild metric for weak gravitational fields but differs for strong fields, avoiding any catastrophic collapse into a black hole. The quasars are interpreted as gravitationally compacted protogalaxies, with galactic masses and dimensions which are initially stellar but increase as the quasar evolves into a galaxy. Good agreement is found between the surface red shifts calculated from the preliminary quasar model and the observed red shifts for a sample of 151 quasars. Thus the quasar red shifts can be interpreted as primarily of gravitational rather than cosmological origin, and the quasars are placed at moderate distances, 3C48 being within the local group of galaxies.