pith. sign in

Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

We consider light propagation in a non-magnetized pressureless plasma around a Kerr black hole. We find the necessary and sufficient condition the plasma electron density has to satisfy to guarantee that the Hamilton-Jacobi equation for the light rays is separable, i.e., that a generalized Carter constant exists. For all cases where this condition is satisfied we determine the photon region, i.e., the region in the spacetime where spherical light rays exist. A spherical light ray is a light ray that stays on a sphere $r = \mathrm{constant}$ (in Boyer-Lindquist coordinates). Based on these results, we calculate the shadow of a Kerr black hole under the influence of a plasma that satisfies the separability condition. More precisely, we derive an analytical formula for the boundary curve of the shadow on the sky of an observer that is located anywhere in the domain of outer communication. Several examples are worked out.

citation-role summary

background 2

citation-polarity summary

fields

gr-qc 3

years

2026 2 2025 1

verdicts

UNVERDICTED 3

roles

background 2

polarities

background 2

representative citing papers

citing papers explorer

Showing 3 of 3 citing papers.