Monopole and dipole layers in curved spacetimes: formalism and examples
arXiv:1105.3840 · doi:10.1103/PhysRevD.83.124023
Abstract
The discontinuities of electromagnetic test fields generated by general layers of electric and magnetic monopoles and dipoles are investigated in general curved spacetimes. The equivalence of electric currents and magnetic dipoles is discussed. The results are used to describe exact "Schwarzschild disk" solutions endowed with such sources. The resulting distributions of charge and dipole densities on the disks are corroborated using the membrane paradigm.
to be published in Phys. Rev. D, 10 pages, 4 figures; v2: spelling of authors name corrected
References in corpus (8)
- Cosmology with inhomogeneous magnetic fields
- The use of Generalised Functions and Distributions in General Relativity
- General Relativistic Electromagnetic Fields of a Slowly Rotating Magnetized Neutron Star. I. Formulation of the equations
- Electromagnetic Fields in the Exterior of an Oscillating Relativistic Star -- I. General Expressions and application to a rotating magnetic dipole
- Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
- Quasiblack holes with pressure: General exact results
- Spherical Gravitating Condensers in General Relativity
- Charged membrane as a source for repulsive gravity
Cited by in corpus (7)
- Conformastatic disk-haloes in Einstein-Maxwell gravity
- Exact relativistic models of thin disks around static black holes in a magnetic field
- Electromagnetic sources distributed on shells in a Schwarzschild background
- Stability aspects of relativistic thin magnetized disks
- Analytical models of finite thin disks in a magnetic field
- General Relativistic Razor-Thin Disks with Magnetically Polarized Matter
- Relativistic Static Thin Disks of Polarized Matter