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EnglishThe solutions of vacuum Einstein's field equations, for the class of Riemannian metrics admitting a non-Abelian bidimensional Lie algebra of Killing fields, are explicitly described. They are parametrized either by solutions of a transcendental equation (the tortoise equation), or by solutions of a linear second order differential equation in two independent variables. Metrics, corresponding to solutions of the tortoise equation, are characterized as those that admit a 3-dimensional Lie algebra of Killing fields with bidimensional leaves.
| Titolo: | Vacuum Einstein metrics with bidimensional Killing leaves, I-Local aspects |
| Autori: | |
| Data di pubblicazione: | 2002 |
| Rivista: | |
| Abstract: | The solutions of vacuum Einstein's field equations, for the class of Riemannian metrics admitting a non-Abelian bidimensional Lie algebra of Killing fields, are explicitly described. They are parametrized either by solutions of a transcendental equation (the tortoise equation), or by solutions of a linear second order differential equation in two independent variables. Metrics, corresponding to solutions of the tortoise equation, are characterized as those that admit a 3-dimensional Lie algebra of Killing fields with bidimensional leaves. |
| Handle: | http://hdl.handle.net/11386/1058649 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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