Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

Guo, Yang; Miao, Yan-Gang

doi:10.48550/arxiv.2007.08227

Cited by 4 publications

(5 citation statements)

References 30 publications

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“…Recently, the author of this paper, showed a connection between the shadow radius and the real part of the QNMs in a static and a spherically symmetric black hole spacetime (see [49]) and rotating spacetimes (see, [50]). This correspondence was used in subsequent studies [51][52][53], along with the analytical correspondence reported in [54] also used in [55]. In the present work, we aim to show that such a correspondence between the real part of the QNMs and the shadow radius exists in the spacetime of static/rotating and asymptotically flat wormholes.…”

Section: Introductionmentioning

confidence: 78%

Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime

Jusufi

2020

Preprint

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In this paper we study the correspondence between the real part of quasinormal modes (QNMs) and the shadow radius in a wormhole spacetime. Firstly we consider the above correspondence in a static and spherically symmetric wormhole spacetime and then explore this correspondence numerically by considering different wormhole models having specific redshift functions. To this end, we generalize this correspondence to the rotation wormhole spacetime and calculate the typical shadow radius of the rotating wormhole when viewed from the equatorial plane. We argue that due to the rotation and depending on the specific model, the typical shadow radius can increase or decrease and a reflecting point exists. Finally, we discuss whether a wormhole can mimic the black hole due to it's shadow. In the light of the EHT data, we find the upper and lower limits of the wormhole throat radius in the galactic center M87.

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Section: Introductionmentioning

confidence: 78%

Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime

Jusufi

2020

Preprint

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“…Recently, it has been suggested that the real part of QNMs in the eikonal limit can be connected to the radius of the black hole shadow [64,65]. Such a correspondence has been applied to different black holes [66][67][68]. Here, we employ this idea and study the QNMs for the black hole solution presented by the metric function given in Eq.…”

Section: Connection Between Shadow Radius and Quasinormal Modesmentioning

confidence: 99%

Shadow, deflection angle and quasinormal modes of Born-Infeld charged black holes

Jafarzade,

Zangeneh,

Lobo

2020

Preprint

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In this paper, we consider black holes in four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity in the presence of Born-Infeld (BI) nonlinear electrodynamics. We study several optical features of these black holes such as the shadow radius, energy emission rate and deflection angle, and analyse the effect of the coupling constants, the electric charge and cosmological constant on the considered optical quantities. Furthermore, we also employ the connection between the shadow radius and quasinormal modes (QNMs) and investigate small scalar perturbations around the black hole solution. We show that the variation of the parameters of the theory provide specific signatures on the optical features of the BI charged black hole solution, thus leading to the possibility of directly testing this 4D EGB black hole model by using astrophysical observations.

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“…This result was proved to be valid for the static spherical spacetime, and accurate in the eikonal limit l 1. Very recently the correspondence between the shadow radius and the real part of QNMs frequencies was improved to the sub-leading regime to half of its value [85] (see also [86][87][88])…”

Section: Connection Between the Shadow Radius And Qnmsmentioning

confidence: 99%

“…In terms of x, a 0 , and λ 0 , the quantities N, N r , D r , N θ and D θ appearing in (86) are given by…”

Section: Appendix A: Einstein Field Equationsmentioning

confidence: 99%

Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory

Jusufi,

Azreg-Aïnou,

Jamil

et al. 2020

Preprint

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In this paper we obtain an effective metric describing a regular and rotating magnetic black hole (BH) solution with a Yang-Mills electromagnetic source in Einstein-Yang-Mills (EYM) theory using the Newman-Janis algorithm via the non-complexification radial coordinate procedure. We then study the BH shadow and the quasinormal modes (QNMs) for massless scalar and electromagnetic fields and the quasiperiodic oscillations (QPOs). To this end, we also study the embedding diagram for the rotating EYM BH. The energy conditions, shadow curvature radius, topology and the dynamical evolution of scalar and electromagnetic perturbations using the time domain integration method are investigated. We show that the shadow radius decreases by increasing the magnetic charge, while the real part of QNMs of scalar and electromagnetic fields increases by increasing the magnetic charge. This result is consistent with the inverse relation between the shadow radius and the real part of QNMs. In addition, we have studied observational constraints on the EYM parameter λ via frequency analysis of QPOs and the EHT data of shadow cast by the M87 central black hole. We also find that the decaying rate of the EYM BH is slower than that of the neutral and ends up with a tail. We argue that the rotating EYM black hole can be distinguished from the Kerr-Newman black hole with a magnetic charge based on the difference between the angular diameters of their shadows.

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Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes

Cited by 4 publications

References 30 publications

Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime

Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime

Shadow, deflection angle and quasinormal modes of Born-Infeld charged black holes

Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory

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