Relativistic KleinGordon systems
Abstract
A static spherical distribution of incoherent matter which is a source of the KleinGordon field is considered in equilibrium under its gravitational attraction and shortrange repulsion. Numerical solutions of the full Einsteinscalar equations are obtained. The solutions are regular everywhere, and have simple physical interpretation. The stability of the system under various degrees of concentration is discussed. The impossibility of a bounded, static configuration of massless KleinGordon charges under its selfgravitation is deduced; furthermore, it is shown that unbounded configurations are exact solutions of the vacuum equations with cosmological constant.
 Publication:

Physical Review D
 Pub Date:
 October 1977
 DOI:
 10.1103/PhysRevD.16.2412
 Bibcode:
 1977PhRvD..16.2412C
 Keywords:

 Gravitational Effects;
 KleinGordon Equation;
 Matter (Physics);
 Relativity;
 Cosmology;
 Einstein Equations;
 Nonlinear Systems;
 Scalars;
 Spatial Distribution;
 Physics (General)