2022
DOI: 10.1088/1361-6382/ac8860
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Multi-level images around Kerr–Newman black holes

Abstract: We study the lensing effects of Kerr-Newman (KN) black holes and the multi-level images of luminous sources around the black holes. We obtain the analytic forms of the lens equations in KN spacetime and derive approximately their limiting forms for photon emissions near the bounded photon orbits. After deriving the expressions of three key parameters γ, δ and τ, we investigate the primary, the secondary and the higher-order images of spherical sources and equatorial disk-like sources. In particular, we find that… Show more

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Cited by 23 publications
(12 citation statements)
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“…In the theoretical description of shadows, a prominent role is played by the notion of critical curve(s) [7,8]. Such curves are present, for instance, in the space-time of a Kerr(-Newman) black hole, on which one finds a photon shell of unstable orbits corresponding to the light rays approaching asymptotically the critical points of the radial "potential" [9,10]. In absence of rotation, this shell degenerates into a single circular critical curve associated to an extrema of the effective potential (i.e., a photon sphere).…”
Section: Introductionmentioning
confidence: 99%
“…In the theoretical description of shadows, a prominent role is played by the notion of critical curve(s) [7,8]. Such curves are present, for instance, in the space-time of a Kerr(-Newman) black hole, on which one finds a photon shell of unstable orbits corresponding to the light rays approaching asymptotically the critical points of the radial "potential" [9,10]. In absence of rotation, this shell degenerates into a single circular critical curve associated to an extrema of the effective potential (i.e., a photon sphere).…”
Section: Introductionmentioning
confidence: 99%
“…When M √ α, we can obtain analytical expressions for b n and b n by solving Eq. ( 3) with b = βM , using the method of Matched Asymptotic Expansions [37][38][39]. Details can be found in Appendix A, which gives us…”
Section: Bh Images With Thin Disk Emissionmentioning
confidence: 99%
“…These appear thanks to the enhancing effect of the region between the photon sphere and the internal part of the potential such that every photon with low enough impact parameter hits the infinite potential slope, allowing for further transits of light trajectories around the photon sphere on its way back, this way collecting additional luminosi-ties 1 . As a consequence, the expectations based on the theoretical Lyapunov exponent regarding an exponential suppression of the luminosity of successive photon rings with higher m does not necessarily hold here, and one must study this problem on a case-by-case basis for the combination of background geometry and accretion disk's emission (for the canonical case of Kerr-Newman black holes see the analysis of its multi-ring structure of [85]).…”
Section: E Higher-order Photon Rings Of Horizonless Compact Objectsmentioning
confidence: 99%