Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-04-19
Phys.Rev. D52 (1995) 3543-3547
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, RevTex, one figure included
Scientific paper
10.1103/PhysRevD.52.3543
We consider the axially symmetric coupled system of gravitation, electromagnetism and a dilaton field. Reducing from four to three dimensions, the system is described by gravity coupled to a non-linear $\sigma$-model. We find the target space isometries and use them to generate new solutions. It seems that it is only possible to generate rotating solutions from non-rotating ones for the special cases when the dilaton coupling parameter $a=0, \pm \sqrt{3}$. For those particular values, the target space symmetry is enlarged.
Jensen Bjørn
Lindstrom Ulf
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