On a class of nonstatic perfect fluid spheres in general relativity
Abstract
The generalized version of McVittie's (1967) metric is investigated in detail. Necessary and sufficient conditions for the density to be uniform are given. The motion of the matter configuration is investigated in relation to oscillations using different physical conditions and initial conditions. For many classes of solutions, it is shown that these conditions are sufficient to reach the conclusion that oscillations are not possible. It is found in particular that oscillations are not possible for a gaseous mass. It is shown for other classes of solutions that the conditions necessary for the solutions to be physically acceptable are consistent with oscillations. These conditions, however, are in general not sufficient.
 Publication:

Physica Scripta
 Pub Date:
 August 1983
 DOI:
 10.1088/00318949/28/2/001
 Bibcode:
 1983PhyS...28..129K
 Keywords:

 Einstein Equations;
 Fluid Boundaries;
 Ideal Fluids;
 Nonstabilized Oscillation;
 Relativity;
 Spheres;
 Equations Of State;
 Mass Distribution;
 Mathematical Models;
 Pressure Gradients;
 Astrophysics