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

Abstract

Null geodesics, quasinormal modes of a massless scalar field perturbation, and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five-and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null geodesics. Moreover, we find no reflecting points of shadow radii and no spiral-like shapes on the complex plane of quasinormal frequencies and verify the correspondence between the quasinormal modes in the eikonal limit and shadow radii in high-dimensional Einstein-Yang-Mills spacetimes.

The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

“…In fact, when l is small, the QNMs are in good agreement with each other except for the values at α = −3. This result is full in consistent with those derived in [56,83].…”

“…This work is helpful to detect indirectly the dark matter near the event horizon. Subsequently, this correspondence was verified by the 3rd order WKB approximation approach in [54,55] and by the 13th order WKB approximation approach in [56], respectively.…”

The correspondence between shadow and test field in a four-dimensional charged Einstein-Gauss-Bonnet black hole

“…This work is helpful to detect indirectly the dark matter near the event horizon. Subsequently, this correspondence was verified by the 3rd order WKB approximation approach in [42,43] and by the 13th order WKB approximation approach in [44], respectively.…”

New Model of 4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics

“…In this work, we obtain a black hole (BH) solution in the 4D EGB gravity coupled with nonlinear electrodynamics (NED) proposed in [40] in the framework of [36][37][38] theory. Quasinormal modes, deflection angle, shadows of BHs, and Hawking radiation were studied in [41][42][43][44][45][46][47]. The image of the M87* BH, observed by collaboration with the Event Horizon Telescope [48], confirms the existence of BHs in the universe.…”