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Time Delay in Black Hole Gravitational Lensing as a Distance Estimator

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arxiv gr-qc/0305007 v2 pith:7AE5PDLB submitted 2003-05-02 gr-qc astro-ph

Time Delay in Black Hole Gravitational Lensing as a Distance Estimator

V. Bozza , L. Mancini This is my paper
classification gr-qc astro-ph
keywords blackdelayholetimeimagesdistancegravitationalholes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the time delay between different relativistic images formed by black hole gravitational lensing in the strong field limit. For spherically symmetric black holes, it turns out that the time delay between the first two images is proportional to the minimum impact angle. Their ratio gives a very interesting and precise measure of the distance of the black hole. Moreover, using also the separation between the images and their luminosity ratio, it is possible to extract the mass of the black hole. The time delay for the black hole at the center of our Galaxy is just few minutes, but for supermassive black holes with M=10^8 - 10^9 solar masses in the neighbourhood of the Local Group the time delay amounts to few days, thus being measurable with a good accuracy.

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Cited by 2 Pith papers

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  2. Analytical Study of Deflection Angle and Time Delay in Kerr Spacetime with Modified Propagation

    gr-qc 2026-07 reject novelty 4.0

    The paper asserts analytic strong-lensing deflection and time-delay formulas for Kerr black holes with Weyl-modified photon propagation, but the derivation is incomplete and internally inconsistent.