Construction of test Maxwell fields with scale symmetry
arXiv:1804.09523
Abstract
Geometrical symmetry in a spacetime can generate test solutions to the Maxwell equation. We demonstrate that the source-free Maxwell equation is satisfied by any generator of spacetime self-similarity---a proper homothetic vector---identified with a vector potential of the Maxwell theory. The test fields obtained in this way share the scale symmetry of the background.
4 pages
References in corpus (6)
- Destroying a near-extremal Kerr black hole with a charged particle: Can a test magnetic field serve as a cosmic censor?
- Electromotive Force in the Blandford-Znajek Process
- Constants of Motion for Constrained Hamiltonian Systems: A Particle around a Charged Rotating Black Hole
- The essence of the Blandford-Znajek process
- Weakly charged generalized Kerr-NUT-(A)dS spacetimes
- Self-similar motion of a Nambu-Goto string