Self-dual Maxwell field in 3D gravity with torsion

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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LATEX, 15 pages, v2: minor corrections

Scientific paper

10.1103/PhysRevD.78.044037

We study the system of self-dual Maxwell field coupled to 3D gravity with torsion, with Maxwell field modified by a topological mass term. General structure of the field equations reveals a new, dynamical role of the classical central charges, and gives a simple correspondence between self-dual solutions with torsion and their Riemannian counterparts. We construct two exact self-dual solutions, corresponding to the sectors with massless and massive Maxwell field, and calculate their conserved charges.

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