Conformally Symmetric Spheres in the Thin Wall Approximation
Abstract
Solutions to the Einstein equations for spherically symmetric distributions of anisotropic matter are found which admit a oneparameter group of conformal motions and include surface phenomena (thin wall approximation). Two families of solutions represent, respectively, expanding and contracting spheres which asymptotically tend to a static configuration whose surface potential depends upon the surface tension coefficient. The influence of surface tension on the evolution of the boundary is exhibited and discussed. A stable, stationary configuration exists for which the radius equals twice the total mass.
 Publication:

The Astrophysical Journal
 Pub Date:
 April 1990
 DOI:
 10.1086/168646
 Bibcode:
 1990ApJ...353..579H
 Keywords:

 Anisotropic Fluids;
 Computational Astrophysics;
 Einstein Equations;
 Mass Distribution;
 Relativity;
 Approximation;
 Conformal Mapping;
 Interfacial Tension;
 SpaceTime Functions;
 Spheres;
 Astrophysics;
 HYDRODYNAMICS;
 RELATIVITY