Post-Minkowskian solution for the small-deflection motion of test particles in Kerr–Newman spacetime

Yang, Bo; Jiang, C. H.; Lin, Wenbin

doi:10.1088/1361-6382/ab0ec9

Cited by 4 publications

(4 citation statements)

References 80 publications

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“…For the second-order approximation, the components of metric of the Kerr-Newman spacetime in the harmonic coordinates (t, x, y, z) can be written as [65,66]…”

Section: An Example: the Deflection Of Light In Kerr-newman Spacetimementioning

confidence: 99%

Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing

Zhou

2020

Phys. Rev. D

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The Gibbons-Werner method where the Gauss-Bonnet theorem is applied to study the gravitational deflection angle has received much attention recently. In this paper, we study the equivalence of the Gibbons-Werner method to the standard geodesics method, and it is shown that the geodesics method can be derived with the Gibbons-Werner method, for asymptotically flat case. In the geodesics method, the gravitational deflection angle of particle depends entirely on the geodesic curvature of the particle ray in the Euclidean space. The gravitational deflection of light in Kerr-Newman spacetime is calculated by different technologies under the Gibbons-Werner framework, as an intuitive example to show the equivalence. PACS numbers: 98.62.Sb, 95.30.Sf

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“…For the second-order approximation, the components of metric of the Kerr-Newman spacetime in the harmonic coordinates (t, x, y, z) can be written as [65,66]…”

Section: An Example: the Deflection Of Light In Kerr-newman Spacetimementioning

confidence: 99%

Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing

Zhou

2020

Phys. Rev. D

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“…In this section we employ an iterative method [1,41,42] to derive the 2PN solution for the light propagation in the spacetime characterized by the above PPN metric.…”

Section: The 2pn Solution For the Light Propagationmentioning

confidence: 99%

Parameterized Post-Post-Newtonian Light Propagation in the Field of One Spherically-Symmetric Body*

Zhu¹,

Yang²,

Jiang

et al. 2019

Commun. Theor. Phys.

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We derive a more generally parameterized post-post-Newtonian solution for the light propagation in the gravitational field of one spherically-symmetric body. Based on the solution for the light velocity, we give the formula of the light deflection when both the emitter and receiver are located in the regions far away from the body, which is the most important scenario in the real applications. Our results can be applied to more metric theories of gravitation.

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“…Charged particle motion in the spacetime of a charged and rotating black hole has been considered by different authors (see e.g. [27][28][29][30][31][32]). The geodesic motion in the vicinity of Kerr-Newman BH has also been studied in the presence of magnetic field [33].…”

Section: Introductionmentioning

confidence: 99%

“…The geodesic motion in the vicinity of Kerr-Newman BH has also been studied in the presence of magnetic field [33]. A further generalization of the Kerr-Newman solution has been obtained with the NUT parameter [34], and the study of the dynamics of test particles in this spacetime has been carried out in the literature to investigate the effects of the NUT parameter on the particle motion [30,35,36]. Kiselev has presented a BH solution in the presence of dark energy for a point gravitating source [37].…”

Section: Introductionmentioning

confidence: 99%

Dynamics and Fundamental Frequencies of Test Particles Orbiting Kerr-Newman-NUT-Kiselev Blacks Hole in Rastall Gravity

Narzilloev,

Hussain,

Abdujabbarov

et al. 2021

Preprint

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The spacetime properties in the exterior of the Kerr-Newman-NUT-Kiselev black hole in the Rastall theory of gravity, through particle dynamics are investigated with the aim to find possible degeneracy of the different black hole parameters. We show that the effective potential, the energy, and the angular momentum of a test particle moving in the spacetime of such a black hole strongly depend on the central black hole parameters. We also evaluate the innermost stable circular orbit radii of test particles and show how the spacetime parameters can act on them. Further, we show the results for the fundamental frequencies of test particles moving at small distances from the circular orbits in the equatorial plane. We demonstrate that change in the Rastall parameter κλ, can make the radial epicyclic frequency to become zero at larger distances from the central source. We also notice that for the vertical epicyclic frequencies, in the case of the Kerr-Newman-NUT-Kiselev black hole in the Rastall theory of gravity lower frequencies are observed as compared to the frequencies observed in the case of the Kerr black hole. Finally, we show that for the Kerr-Newman-NUT-Kiselev black hole in the Rastall gravity, the Keplerian frequencies are almost identical with the frequencies noticed in the case of the Kerr black hole and the difference between the two can only be observed in the regions in a very close vicinity to the central black hole, studied in the present work.

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Post-Minkowskian solution for the small-deflection motion of test particles in Kerr–Newman spacetime

Cited by 4 publications

References 80 publications

Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing

Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing

Parameterized Post-Post-Newtonian Light Propagation in the Field of One Spherically-Symmetric Body*

Dynamics and Fundamental Frequencies of Test Particles Orbiting Kerr-Newman-NUT-Kiselev Blacks Hole in Rastall Gravity

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