Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization

Details Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization

2004-09-27

arxiv.org/abs/astro-ph/0409610v1

Astronomy and Astrophysics

Astrophysics

7 pages, latex file, no figures

Scientific paper

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. As a result, a point particle idealization -- a limiting case of bodies with finite dimension, becomes possible in GR, much like in Newtonian gravity. We devote this article to detailed mathematical study of this limit.

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