Premium
On the Gravitational Collapse in Relativistic Theories of Gravitation
Author(s) -
v. Borzeszkowski H.H.
Publication year - 1976
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19764880106
Subject(s) - physics , einstein , gravitation , schwarzschild metric , equivalence principle (geometric) , classical mechanics , gravitational collapse , causality (physics) , general relativity , schwarzschild radius , circular orbit , theoretical physics , quantum mechanics
Following Einstein, we consider a simple model of a star, namely a spherically symmetric distribution of particles which are all moving along circular orbits around the center of the particle cluster. According to arguments given by Einstein, Laue, Treder and others, the existence of stationary circular motions for all values of r can be considered as a necessary condition for all collapse‐free relativistic (classical) theory o gravitation. The discussion shows that, assuming the validity of the weak principle of equivalence and the principle of causality, one has to consider theories with a g 00 ‐function different from the Einstein‐Schwarzschild one. We discuss some g 00 types and show that our point of view leads in the direction of gravitational equations with a cut‐off length.