Conformally symmetric spheres in the thin wall approximation

Details Conformally symmetric spheres in the thin wall approximation Conformally symmetric spheres in the thin wall approximation

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...353..579h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 353, April 20, 1990, p. 579-584. Research supported by the Direccion Nacion

Statistics

Computation

1

Anisotropic Fluids, Computational Astrophysics, Einstein Equations, Mass Distribution, Relativity, Approximation, Conformal Mapping, Interfacial Tension, Space-Time Functions, Spheres

Scientific paper

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.

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