Nota de FísicaPublicado
General Exact Solution for Homogeneous Time-Dependent Self-Gravitating Perfect Fluids
Patricio Gaete; R. Hojman
1988
Datos de la publicación
- Autores
- Patricio Gaete; R. Hojman
- Tipo
- Nota de Física
- Estado
- Publicado
- Fecha de publicación
- 1988
- Descripción
- A procedure to obtain the general exact solution of Einstein equations for a self-gravitating spherically-symmetric static perfect fluid obeying an arbitrary equation of state, is applied to time-dependent Kantowsky-Sachs line elements (with spherical, planar and hyperbolic symmetry). As in the static case, the solution is generated by an arbitrary function of the independent variable and its first derivative. To illustrate the results, the whole family of (plane-symmetric) solutions with a "gamma-law" equation of state is explicitly obtained in terms of simple known functions. It is also shown that, while in the static planes symmetric line element, every metric is in one to one correspondence with a "partner-metric" (both originated from the same generatrix function),in this case every generatrix function univocally determines one metric.
- Año
- 1988
- Número
- CBPF-NF-063/88
- Vínculo con tesis
- No
- Vínculo con beca
- No