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

P. P. Fiziev

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

P. P. Fiziev

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Abstract

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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P. P. Fiziev. 2004-09-27. Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization. https://arxiv.org/abs/astro-ph/0409610

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