2022
DOI: 10.3390/universe8040210
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Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole

Abstract: In this paper, we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadow. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman–Janis–Azreg-Aïnou algorithm. In particular, using the geometric-optics correspondence between the parameters of a QNMs and the conserved quantities along geodesics, we show that, in the eikonal limit, the real part of QNMs is related to the Keplerian frequency for equatorial orbits. To this end, we explore the typi… Show more

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Cited by 10 publications
(5 citation statements)
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“…Substituting equation ( 36) into equation (34), and repeating the procedure to obtain equation (39), then equation ( 34) reduces to…”
Section: First Order Perturbation Equations For Metric and Electromag...mentioning
confidence: 99%
See 1 more Smart Citation
“…Substituting equation ( 36) into equation (34), and repeating the procedure to obtain equation (39), then equation ( 34) reduces to…”
Section: First Order Perturbation Equations For Metric and Electromag...mentioning
confidence: 99%
“…Thus it provides us a powerful tool to distinguish different BHs and theories by detecting QNMs in GWs. Amounts of effort have been devoted on studying QNMs of various BHs in variety of theories in past years [39][40][41][42], see also reviews [43][44][45][46]. Although limited by detection accuracy, data analysis to read off QNMs from the detected GW signals are ongoing and some progresses have been made [47][48][49][50][51][52][53][54].…”
Section: Introductionmentioning
confidence: 99%
“…The last equation is nothing but the result which was obtained previously in Ref. [110], where the points r ± ph were determined by solving [58,111]…”
Section: Equatorial and Polar Qnms And Their Relation With Typical Sh...mentioning
confidence: 92%
“…Using the metric functions and after some algebraic manipulation in the Eikonal limit we can use Eq. ( 40) which can be further simplified as follows [111]…”
Section: Equatorial and Polar Qnms And Their Relation With Typical Sh...mentioning
confidence: 99%
“…On the other hand, since wormholes can be a candidate for the black hole mimicker, then several astrophysical signatures of wormholes have been proposed to search for their existence in near future, for example, the shadow [56][57][58][59][60][61][62], the gravitational lensing [63][64][65][66][67][68][69], the accretion disk around the wormhole [70][71][72], and the ringdown phase in the emission of gravitational waves [73].…”
Section: Introductionmentioning
confidence: 99%