Properties of Eoetvoes Spheres
Abstract
Derivations of the equations governing Eotvos spheres and degenerate Eotvos objects are presented. These simplified stellar models incorporate a shortrange component in their gravitational potential. A Yukawa formulation to agree with other workers in this field is used, although any form that multiplies the normal inverse square law would be acceptable. Both polytropic and completely degenerate equations of state are used and separate equations governing the density distribution derived. Various global relationships are obeyed by these objects, much like the polytropes to which they are similar. A discussion of whether the simplified potential is accurate enough for astrophysics is included, along with a more accurate integral equation for the potential.
 Publication:

The Astrophysical Journal
 Pub Date:
 September 1989
 DOI:
 10.1086/167852
 Bibcode:
 1989ApJ...344..851P
 Keywords:

 Equations Of State;
 Gravitational Fields;
 Stellar Interiors;
 Gravitational Collapse;
 Stellar Models;
 White Dwarf Stars;
 Astrophysics;
 EQUATION OF STATE;
 STARS: INTERIORS