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arXiv · 0805.3627

Self-dual Maxwell field in 3D gravity with torsion

M. Blagojević·B. Cvetković
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Abstract

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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M. Blagojević, B. Cvetković. 2008-09-03. Self-dual Maxwell field in 3D gravity with torsion. https://doi.org/10.1103/physrevd.78.044037

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