Global uniqueness of Kerr black hole spin and inclination from a segment of the critical curve

arXiv:2608.24635 · gr-qc, astro-ph.HE · Submitted 2026-08-25 · Read on arXiv

gr-qc, astro-ph.HE

Submitted: 2026-08-25

Updated: 2026-08-25

Comments: 29 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 3× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes

Sources

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Universal Interferometric Signatures of a Black Hole's Photon Ring
• The Japanese Vision for the Black Hole Explorer Mission
• The Black Hole Explorer: Motivation and Vision
• The Black Hole Explorer: Photon Ring Science, Detection and Shape Measurement
• Hidden symmetries, null geodesics, and photon capture in the Sen black hole
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Determining parameters of Kerr black holes at finite distance by shadow observation
• Determining parameters of a spherical black hole with a thin accretion disk by observing its shadow
• Constraining the spin and the deformation parameters from the black hole shadow
• A coordinate-independent characterization of a black hole shadow
• Constraints on the black-hole charges of M87* and Sagittarius A* by changing rates of photon spheres can be relaxed
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• The Fingerprints of Black Holes - Shadows and their Degeneracies
• Determining parameters of Kerr-Newman black holes by shadow observation from finite distance and spatial infinity
• Determining Kerr black hole spin and inclination from a segment of the critical curve in black hole images
• Does the shape of the shadow of a black hole depend on motional status of an observer?
• Observational Signature of High Spin at the Event Horizon Telescope

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