Self-dual Maxwell field in 3D gravity with torsion

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.

LATEX, 15 pages, v2: minor corrections

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Cited by in corpus (6)

• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Dirac quasinormal modes of Chern-Simons and BTZ black holes with torsion
• Electric field in 3D gravity with torsion
• Nonlinear electrodynamics in 3D gravity with torsion
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
• Bosonic (p - 1)-forms in Einstein-Cartan theory of gravity