- #1

- 3,777

- 1,937

I haven't read these articles, but it seems that the claim is that there are spherically symmetric static space-times, which can describe compact isolated objects with arbitrarily large masses and arbitrarily small radi without being black holes. That doesn't seem right. What am I missing?

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

Novel Geometrical Models of Relativistic Stars. II. Incompressible Stars and Heavy Black Dwarfs -https://www.physicsforums.com/find/astro-ph/1/au:+Fiziev_P/0/1/0/all/0/1

It turns out that there exist heavy black dwarfs: relativistic stars with arbitrary large mass, which are to have arbitrary small radius and arbitrary small luminosity. In the present article we mathematically prove this new phenomena, using a detailed consideration of incompressible GR stars. We study the whole two parameter family of solutions of extended TOV equations for incompressible stars. This example is used to illustrate most of the basic features of the new geometrical models of relativistic stars. Comparison with newest observational data is discussed

Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization -https://www.physicsforums.com/find/astro-ph/1/au:+Fiziev_P/0/1/0/all/0/1

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.

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

__P. P. Fiziev__**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.

Novel Geometrical Models of Relativistic Stars. II. Incompressible Stars and Heavy Black Dwarfs -https://www.physicsforums.com/find/astro-ph/1/au:+Fiziev_P/0/1/0/all/0/1

**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 turns out that there exist heavy black dwarfs: relativistic stars with arbitrary large mass, which are to have arbitrary small radius and arbitrary small luminosity. In the present article we mathematically prove this new phenomena, using a detailed consideration of incompressible GR stars. We study the whole two parameter family of solutions of extended TOV equations for incompressible stars. This example is used to illustrate most of the basic features of the new geometrical models of relativistic stars. Comparison with newest observational data is discussed

Novel Geometrical Models of Relativistic Stars III. The Point Particle Idealization -https://www.physicsforums.com/find/astro-ph/1/au:+Fiziev_P/0/1/0/all/0/1

**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.

Last edited by a moderator: