Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries
Abstract
Vacuum gravitational fields invariant for a bidimensional non-Abelian Lie algebra of Killing fields, are explicitly described. They are parameterized either by solutions of a transcendental equation (the tortoise equation) or by solutions of a linear second order differential equation on the plane. Gravitational fields determined via the tortoise equation, are invariant for a /3-dimensional Lie algebra of Killing fields with bidimensional leaves. Global gravitational fields out of local ones are also constructed.
- Publication:
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Physics Letters B
- Pub Date:
- July 2001
- DOI:
- 10.1016/S0370-2693(01)00722-5
- arXiv:
- arXiv:gr-qc/0102112
- Bibcode:
- 2001PhLB..513..142S
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 8 pagese, latex, no figures