Light propagation in a plasma on an axially symmetric and stationary spacetime: Separability of the Hamilton-Jacobi equation and shadow
arXiv:2204.05593 · doi:10.1063/5.0106433
Abstract
The properties of light rays around compact objects surrounded by a plasma are affected by both strong gravitational fields described by a general-relativistic spacetime and by a dispersive and refractive medium, characterized by the density distribution of the plasma. We study these effects employing the relativistic Hamiltonian formalism under the assumption of stationarity and axisymmetry. The necessary and sufficient conditions on the metric and on the plasma frequency are formulated, such that the rays can be analytically determined from a fully separated Hamilton-Jacobi equation. We demonstrate how these results allow to analytically calculate the photon region and the shadow, if they exist. Several specific examples are discussed in detail: the "hairy" Kerr black holes, the Hartle-Thorne spacetime metrics, the Melvin universe, and the Teo rotating traversable wormhole. In all of these cases a plasma medium is present as well.
to appear in Journal of Mathematical Physics
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- Light Deflection in Plasma in the Hartle-Thorne Metric and in Other Axisymmetric Spacetimes with a Quadrupole Moment
- Deflection of light rays in a moving medium around a spherically symmetric gravitating object
- Observational signatures of Rotating compact objects in Plasma space-time
- Deciphering signatures of Kerr-Sen black holes in presence of plasma from the Event Horizon Telescope data
- Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes
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- Charged traversable wormholes: charge without charge
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- Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow