Novel Geometrical Models of Relativistic Stars. I. The General Scheme

TL;DR

This paper introduces a new class of geometrical models for relativistic stars, allowing for arbitrary large mass and small radius configurations, and enabling point particle idealizations within general relativity.

Contribution

It presents a novel approach to static spherically symmetric solutions of Einstein equations, resulting in a two-parameter family of relativistic star models with flexible properties.

Findings

Existence of relativistic stars with arbitrarily large mass and small radius.

The models allow for arbitrary small luminosity.

Point particle idealization is feasible in general relativity.

Abstract

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.