Does three dimensional electromagnetic field inherit the spacetime symmetries?
arXiv:1508.03343 · doi:10.1088/0264-9381/33/7/077001
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 Einstein-Maxwell theories. The Lagrangians of the studied theories have general diff-covariant gravitational part and include both the gravitational and the gauge Chern-Simons terms.
10 pages; published version (some comments and references added)
References in corpus (7)
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- Kerr black holes with scalar hair
- Born-Infeld extension of new massive gravity
- Three-dimensional Chern-Simons black holes
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Cited by in corpus (10)
- Black hole thermodynamics in the presence of nonlinear electromagnetic fields
- Nonlinear electromagnetic fields in strictly stationary spacetimes
- Constraints on the symmetry noninheriting scalar black hole hair
- Nonlinear electromagnetic fields and symmetries
- Breaking of scaling symmetry by massless scalar on de Sitter
- Photon propagator in de Sitter space in the general covariant gauge
- Generalizations and challenges for the spacetime block-diagonalization
- On symmetry inheritance of nonminimally coupled scalar fields
- Stationary spacetimes with time-dependent real scalar fields
- Schwarzschild spacetime immersed in test nonlinear electromagnetic fields