On the various aspects of electromagnetic potentials in spacetimes with symmetries
arXiv:1404.1936 · doi:10.1088/0264-9381/31/23/235002
Abstract
We revise and generalize the properties of the electric and the magnetic scalar potentials in spacetimes admitting a Killing vector field: Their constancy on the Killing horizons, uniqueness of solution for the electromagnetic test fields and the relation between the Bianchi identity and Maxwell's equations. In each of these examples, collinearity of currents with the Killing vector field is shown to be the crucial property.
arXiv comment20 pages; revised, published version
References in corpus (17)
- Stationary Black Holes: Uniqueness and Beyond
- Relationship between Hawking Radiation and Gravitational Anomalies
- Spacetime approach to force-free magnetospheres
- The "physical process" version of the first law and the generalized second law for charged and rotating black holes
- Exact Solutions to Force-Free Electrodynamics in Black Hole Backgrounds
- First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories
- Stationary Black Holes as Holographs
- Thermodynamics of magnetized binary compact objects
- Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes
- Stationary Black Holes as Holographs II
- Killing Horizons as Equipotential Hypersurfaces
- Is the Bianchi identity always hyperbolic?
- Black holes with current loops revisited
- Electrostatic boundary value problems in the Schwarzschild background
- Uniqueness of the electrostatic solution in Schwarzschild space
- Subtleties of Invariance, Covariance and Observer Independence
- Maxwell Fields in Spacetimes Admitting Non-Null Killing Vectors
Cited by in corpus (10)
- Black hole thermodynamics in the presence of nonlinear electromagnetic fields
- Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
- Vacuum and nonvacuum black holes in a uniform magnetic field
- Exact Solutions for Extreme Black Hole Magnetospheres
- Nonlinear electromagnetic fields and symmetries
- Constraints on the symmetry noninheriting scalar black hole hair
- Does three dimensional electromagnetic field inherit the spacetime symmetries?
- Dynamical entropy of charged black objects
- Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
- Symmetry Inheritance and Jebsen-Birkhoff Theorem