Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-07-03
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
42 pages; 1 figure; 2 tables; includes the unpublished e-print hep-th/0601218; v2: references added; v3: reference added, rewr
Scientific paper
It is studied a space-time duality that maps known static rotating electric solutions into static magnetic solutions. As an example this dualities are applied to known electric solutions in 2+1-dimensional Minkowski space-times within the framework of Einstein Maxwell Chern-Simons theory coupled to a dilaton-like scalar field. The magnetic solutions obtained have metric determinant $\sqrt{-g}\sim r^p$ for the range of the parameter $p\in]-\infty,+\infty[/\{-1\}$ and are interpreted either as magnetic string-like configurations, configurations driven by an externally applied magnetic field or cosmological-like solutions with background magnetic fields.
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