Self-dual Maxwell field in 3D gravity with torsion

2008/05/31 by M. Blagojević, B. Cvetković
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Massless particle #Mathematical physics #Maxwell's equations #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #Torsion (gastropod) #gr-qc

paper · pdf · doi:10.1103/physrevd.78.044037

published as Phys.Rev.D78:044037,2008 · LATEX, 15 pages, v2: minor corrections

openalex publication_date 2008/08/15 · arxiv created 2008/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the system of a self-dual Maxwell field coupled to 3D gravity with torsion, with the 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 a massless and massive Maxwell field, and calculate their conserved charges.

Citations

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