Accretion model of a rotating gas sphere onto a Schwarzschild black hole
We construct a simple accretion model of a rotating pressureless gas sphere onto a Schwarzschild black hole.Far away from the hole, the flow is assumed to rotate as a rigid body. We show how to build analytic solutionsin terms of Jacobi elliptic functions. This construction represents a general rela...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Redalyc-UNAM |
| OAI Identifier: | oai:redalyc.org:57103206 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57103206 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Accretion relativity hydrodynamics accretion disks |
| Sumario: | We construct a simple accretion model of a rotating pressureless gas sphere onto a Schwarzschild black hole.Far away from the hole, the flow is assumed to rotate as a rigid body. We show how to build analytic solutionsin terms of Jacobi elliptic functions. This construction represents a general relativistic generalization of theNewtonian accretion model first proposed by Ulrich (1976). In exactly the same form as it occurs for theNewtonian case, the flow naturally predicts the existence of an equatorial rotating accretion disk about the hole. However, the radius of the disk increases monotonically without limit as the flow reaches the angular momentum corresponding to the maximum limit allowed by the model. |
|---|