Does threedimensional electromagnetic field inherit the spacetime symmetries?
Abstract
We prove that the electromagnetic field in a (1+2)dimensional spacetime necessarily inherits the symmetries of the spacetime metric in a large class of generalized EinsteinMaxwell theories. The Lagrangians of the studied theories have general diffcovariant gravitational part and include both the gravitational and the gauge ChernSimons terms.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2016
 DOI:
 10.1088/02649381/33/7/077001
 arXiv:
 arXiv:1508.03343
 Bibcode:
 2016CQGra..33g7001C
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 10 pages