Connection between Black-Hole Quasinormal Modes and Lensing in the Strong Deflection Limit

Stefanov, Ivan Zh.; Yazadjiev, Stoytcho S.; Gyulchev, Galin

doi:10.1103/physrevlett.104.251103

Cited by 161 publications

(118 citation statements)

References 22 publications

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“…Furthermore, this important result is expected to be valid not only for static spacetimes but also for rotating black holes. Later on, Stefanov et al [98] pointed out a connection between black-hole QNMs in the eikonal limit and strong lensing. Very recently, Jusufi [100] pointed out that the real part of the QNMs and the shadow radius are related by the following relation:…”

Section: Connection Between the Shadow Radius And Qnmsmentioning

confidence: 99%

Shadow and quasinormal modes of a rotating loop quantum black hole

et al. 2020

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In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-Aïnou's non-complexification procedure, and study the effects of loop quantum gravity (LQG) on its shadow. Given the rotating LQBH, we discuss its horizon, ergosurface, and regularity as r → 0. Depending on the values of the specific angular momentum a and the polymeric function P arising from LQG, we find that the rotating solution we obtained can represent a regular black hole, a regular extreme black hole, or a regular spacetime without horizon (a non-black-hole solution). We also study the effects of LQG and rotation, and show that, in addition to the specific angular momentum, the polymeric function also causes deformations in the size and shape of the black hole shadow. Interestingly, for a given value of a and inclination angle θ0, the apparent size of the shadow monotonically decreases, and the shadow gets more distorted with increasing P . We also consider the effects of P on the deviations from the circularity of the shadow, and find that the deviation from circularity increases with increasing P for fixed values of a and θ0. Additionally, we explore the observational implications of P in comparing with the latest Event Horizon Telescope (EHT) observation of the supermassive black hole, M87*. The connection between the shadow radius and quasinormal modes in the eikonal limit as well as the deflection of massive particles are also considered.

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Section: Connection Between the Shadow Radius And Qnmsmentioning

confidence: 99%

Shadow and quasinormal modes of a rotating loop quantum black hole

et al. 2020

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“…Also by combining strong and weak field observables, one can construct consistency relations which will serve as a test of this model. Strong lensing coefficients are interesting even in themselves because of their relationship with quasinormal modes [6] and absorption cross sections from black holes [7]. Quasinormal modes have, for example, an interesting link to semiclassical aspects of black hole physics [26] and for quantum gravity motivated solutions like the one studied in this paper.…”

Section: Discussionmentioning

confidence: 96%

Gravitational lensing by self-dual black holes in loop quantum gravity

2015

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We study gravitational lensing by a recently proposed black hole solution in loop quantum gravity. We highlight the fact that the quantum gravity corrections to the Schwarzschild metric in this model evade the "mass suppression" effects (that the usual quantum gravity corrections are susceptible to) by virtue of one of the parameters in the model being dimensionless, which is unlike any other quantum gravity motivated parameter. Gravitational lensing in the strong and weak deflection regimes is studied, and a sample consistency relation is presented which could serve as a test of this model. We discuss that, though the consistency relation for this model is qualitatively similar to what would have been in Brans-Dicke, in general it can be a good discriminator between many alternative theories. Although the observational prospects do not seem to be very optimistic even for a galactic supermassive black hole case, time delay between relativistic images for a billion solar mass black holes in other galaxies might be within reach of future relativistic lensing observations.

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“…Parametersā andb of the deflection angle in the strong deflection limit are one of the most fundamental values related to light spheres. Relations between the parametersā andb and the quasinormal modes [67,68] and the high-energy absorption cross section [69] have been investigated recently.…”

Section: Discussionmentioning

confidence: 99%

Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

Tsukamoto

2016

Phys. Rev. D

137

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Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys. Rev. D 66, 103001 (2002)] to apply to ultrastatic spacetimes. We also discuss on the order of an error term in the deflection angle. Using the improved method, we consider gravitational lensing by an Ellis wormhole, which is an ultrastatic wormhole of the Morris-Thorne class.

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Connection between Black-Hole Quasinormal Modes and Lensing in the Strong Deflection Limit

Cited by 161 publications

References 22 publications

Shadow and quasinormal modes of a rotating loop quantum black hole

Shadow and quasinormal modes of a rotating loop quantum black hole

Gravitational lensing by self-dual black holes in loop quantum gravity

Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

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