The light ring and the appearance of matter accreted by black holes
arXiv:2102.07784 · doi:10.1103/PhysRevD.103.104044
Abstract
The geometry of black hole spacetimes can be probed with exquisite precision in the gravitational-wave window, and possibly also in the optical regime. We study the accretion of bright spots -- objects which emit strongly in the optical or in gravitational waves -- by non-spinning black holes. The emission as the object falls down the hole is dominated by photons or gravitons orbiting the light ring, causing the total luminosity to decrease exponentially as . Late-time radiation is blueshifted, due to its having been emitted during the infall, trapped at the light ring and subsequently re-emitted. These universal properties are a clear signature of the existence of light rings in the spacetime, and not particularly sensitive to near horizon details.
11 pages, 10 figures, revtex4. v2: Several improvements, relation between geometric optics and quasinormal modes clarified. To appear in Physical Review D
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