Gravitational deflection of light and massive particles by a moving Kerr–Newman black hole

He, Guansheng; Lin, Wenbin

doi:10.1088/0264-9381/33/9/095007

Cited by 41 publications

(60 citation statements)

References 52 publications

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“…Appendix B: Derivation of Eqs. (39) and (40) We begin by expanding f c to the first order of (1 − v). It is seen that f c (h, v) and ω c (h, v) can be solved from Eqs.…”

Section: Discussionmentioning

confidence: 99%

“…The coefficients ω 1,v , ω 1,f can be solved from these equations, and their solutions are given in corresponding terms in (39). ω 4 can be handled similarly and the result is also given in Eq.…”

Section: Discussionmentioning

confidence: 99%

“…(12) of Ref. [39] after setting its angular momentum a to zero. Clearly, the deflection angle is reduced due to the increase of charge.…”

Section: Deflection In the Weak And Strong Field Limitsmentioning

confidence: 99%

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Gravitational lensing of massive particles in Reissner–Nordström black hole spacetime

Pang¹,

Jia²

2019

Class. Quantum Grav.

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In this work we study the deflection angle ∆ϕ and gravitational lensing of both lightlike and timelike neutral rays in Reissner-Nordström (RN) spacetimes. The exact deflection angle is found as an elliptical function of the impact parameter b and velocity v of the ray, and the charge Q of the spacetime. In obtaining this angle, we found the critical impact parameter bc and radius of particle sphere rc that are also dependent on v and Q. In general, both the increase of velocity and charge reduces the bc as well as rc. To study the effect of v and Q on the deflection angle ∆ϕ, its weak and strong deflection limits, relativistic and non-relativistic limits, and small charge and extremal RN limits are analyzed carefully. It is found that both the increase of velocity and charge reduces the deflection angle. For weak deflection, the velocity and charge corrections appear respectively in the O(1/b) and O(1/b 2 ) orders. For strong deflections, these two corrections appear in the same order. The apparent angles and magnifications of weak and strong regular lensing, and retro-lensing are studied for both lightlike and timelike rays. In general, in all cases the increase of velocity or charge will decrease the apparent angle of any order. We show that velocity correction is much larger than that of charge in the weak lensing case, while their effects in the strong regular lensing and retrolensing are comparable. It is further shown that the apparent angle and magnification in strong regular lensing and retro-lensing can be effectively unified. These observables at different orders in these two kinds of lensing are staggered: the apparent angles can be ordered in a staggered way and the magnifications forms two staggered geometric series. Finally, we argue that the correction of v and Q on the apparent angle can be correlated to mass or mass hierarchy of timelike particles with certain energy. In addition, the effects of v and Q on shadow size of black holes are discussed.

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“…Appendix B: Derivation of Eqs. (39) and (40) We begin by expanding f c to the first order of (1 − v). It is seen that f c (h, v) and ω c (h, v) can be solved from Eqs.…”

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Gravitational lensing of massive particles in Reissner–Nordström black hole spacetime

Pang¹,

Jia²

2019

Class. Quantum Grav.

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“…The calculation of the deflection angle of massive particles in the spacetime of rotating naked singularities requires integration of the first derivative of the azimuthal shift function dφ/dr, as follows from Eq. (75). Since, we are expecting small deviation in the orbital motion of the particle, we will consider only terms with the most significant contribution, for simplicity.…”

Section: A Deflection Angle By Rotating Naked Singularitiesmentioning

confidence: 99%

Distinguishing rotating naked singularities from Kerr-like wormholes by their deflection angles of massive particles

et al. 2019

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We study the gravitational deflection of relativistic massive particles by Janis-Newman-Winicour (JNW) spacetimes (also known as a rotating source with a surface-like naked singularity), and a rotating Kerr-like wormholes. Based on the recent article [K. Jusufi, Phys.Rev. D 98, 064017 (2018)], we extend some of these results by exploring the effects of naked singularity and Kerr-like objects on the deflection of particles. We start by introducing coordinate transformation leading to an isotropic line element which gives the refraction index of light for the corresponding optical medias. On the other hand, the refraction index for massive particles is found by considering those particles as a de Broglie wave packets. To this end, we apply the Gauss-Bonnet theorem to the isotropic optical metrics to find the deflection angles. Our analysis shows that, in the case of the JNW spacetime the deflection angle is affected by the parameter 0 < γ < 1, similarly, we find that the deformation parameter λ affects the deflection angle in the case of Kerr-like wormholes. In addition to that, we presented a detailed analysis of the deflection angle by means of the Hamilton-Jacobi equation that lead to the same results. As a special case of our results the deflection angle of light is recovered. Finally, we point out that the deflection of particles by Kerr-like wormholes is stronger compared to JNW spacetime, in particular this difference can be used to shed some light from observational point of view in order to distinguish the two spacetimes.

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“…[5]. Recently, He and Lin [10] considered the gravitational deflection of relativistic massive particles and light caused by a moving Kerr-Newman source numerically, and found that the second-order Schwarzschild contribution was in agreement with the former. This consistency was further confirmed by the analytical calculation via an iterative technique [11].…”

Section: Introductionmentioning

confidence: 99%

Gravitational Deflection of Massive Particles by a Schwarzschild Black Hole in Radiation Gauge*

Li¹,

Zhou²,

Li³

et al. 2019

Commun. Theor. Phys.

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The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth post-Minkowskian order. It is found that the result is consistent with the previous formulations for both the case of dropping the fourth-order contribution and the case of light deflection. Our result might be helpful for future high-accuracy observations.

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Gravitational deflection of light and massive particles by a moving Kerr–Newman black hole

Cited by 41 publications

References 52 publications

Gravitational lensing of massive particles in Reissner–Nordström black hole spacetime

Gravitational lensing of massive particles in Reissner–Nordström black hole spacetime

Distinguishing rotating naked singularities from Kerr-like wormholes by their deflection angles of massive particles

Gravitational Deflection of Massive Particles by a Schwarzschild Black Hole in Radiation Gauge*

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