A General Relativistic Model for the Gravitational Field of Active Galactic Nuclei Surrounded by a Disk
D. Vogt, P. S. Letelier

TL;DR
This paper develops an exact general relativistic model for active galactic nuclei, combining a black hole, a disk, and matter jets, and analyzes their stability and orbital dynamics.
Contribution
It introduces a novel superposition model in Weyl coordinates for the gravitational field of active galactic nuclei including jets and examines their effects.
Findings
Rods tend to destabilize the disk.
Oscillation frequencies for perturbed orbits are computed.
Numerical geodesic orbit calculations are presented.
Abstract
An exact but simple general relativistic model for the gravitational field of active galactic nuclei is constructed, based on the superposition in Weyl coordinates of a black hole, a Chazy-Curzon disk and two rods, which represent matter jets. The influence of the rods on the matter properties of the disk and on its stability is examined. We find that in general they contribute to destabilize the disk. Also the oscillation frequencies for perturbed circular geodesics on the disk are computed, and some geodesic orbits for the superposed metric are numerically calculated.
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