The collapse problem in gravitation theories
Abstract
Gravitational collapse in competing gravitational theories is discussed with the aid of a simple star model (pointparticle cluster) proposed by Einstein (1938). The existence of circular motions of test particles for all values of radii is found to be a criterion for the avoidance of gravitational collapse. Classical theories of gravitation in which the principle of causality is postulated and relativistic theories are compared with respect to the collapse problem. The Laue criterion (1965) is found to be no restriction in the avoidance of collapse, while the Treder tetrad theory (1967) makes possible this avoidance. In addition, circular motions are shown to be possible for all values of radii within the inertialfree mechanics put forward by Treder (1967).
 Publication:

Astronomische Nachrichten
 Pub Date:
 1981
 DOI:
 10.1002/asna.2103020206
 Bibcode:
 1981AN....302...81G
 Keywords:

 Gravitation Theory;
 Gravitational Collapse;
 Gravitational Fields;
 Relativistic Theory;
 Stellar Mass;
 Stellar Models;
 Critical Mass;
 Equivalence;
 Neutron Stars;
 Newton Theory;
 Stellar Motions;
 Astrophysics