Closed-form and numerical radii, existence conditions, and radial stability are given for spherical timelike orbits in Kerr-Newman spacetimes, including an analytical ISCO radius formula.
Light rings of stationary spacetimes
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abstract
We present a novel theorem regarding light rings in a stationary spacetime with an ergoregion. We prove that any stationary, axisymmetric, and asymptotically flat spacetime in 1 + 3 dimensions with an ergoregion must have at least one light ring outside the ergoregion. A possible extension of the proof for asymptotically de-Sitter and anti-de-Sitter spherically symmetric black holes is also discussed.
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Radii of spherical timelike geodesics in Kerr-Newman black holes
Closed-form and numerical radii, existence conditions, and radial stability are given for spherical timelike orbits in Kerr-Newman spacetimes, including an analytical ISCO radius formula.