Equivalence principle, gravitational collapse, and the classical particle problem
Abstract
Modifications of the general relativity equations are attempted in order to see how gravitational collapse might be avoided or how the classical particle problem can be solved. These modifications can be successful at the price of violating the strong principle of equivalence of inertial, active gravitational, and passive gravitational mass. Einstein's equations with fourthorder corrections are promising with regard to solving the classical particle problem.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 1979
 DOI:
 10.1088/03054470/12/3/011
 Bibcode:
 1979JPhA...12..361V
 Keywords:

 Einstein Equations;
 Equivalence;
 Gravitational Collapse;
 Particle Motion;
 Relativity;
 Green'S Functions;
 Singularity (Mathematics);
 Astrophysics