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Connection between black-hole quasinormal modes and lensing in the strong deflection limit

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arxiv 1003.1609 v3 pith:FIALYCYU submitted 2010-03-08 gr-qc astro-ph.HE

Connection between black-hole quasinormal modes and lensing in the strong deflection limit

classification gr-qc astro-ph.HE
keywords gravitationalblackfrequenciesgivelimitmodesquasinormalwaves
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The purpose of the current Letter is to give some relations between gravitational lensing in the strong-deflection limit and the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. On the one side, the obtained relations can give a physical interpretation of the strong-deflection limit parameters. On the other side, they also give an alternative method for the measurement of the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. They could be applied to the localization of the sources of gravitational waves and could tell us what frequencies of the gravitational waves we could expect from a black hole acting simultaneously as a gravitational lens and a source of gravitational waves.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  2. Strong-deflection expansion of the deflection angle near a degenerate photon sphere

    gr-qc 2026-03 unverdicted novelty 7.0

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    In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.

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  10. Photon Sphere and Shadow of a Perturbative Black Hole in $f(R,\mathcal{G})$ Gravity

    gr-qc 2026-05 unverdicted novelty 3.0

    Perturbative higher-curvature corrections in f(R,G) gravity shift the photon-sphere radius and black-hole shadow size away from Schwarzschild values, with the Gauss-Bonnet sector contributing more than mixed terms.