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 one-parameter 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;
- Space-Time Functions;
- Spheres;
- Astrophysics;
- HYDRODYNAMICS;
- RELATIVITY