Second-order time delay by a radially moving Kerr-Newman black hole

He, Guansheng; Lin, Wenbin

doi:10.1103/physrevd.94.063011

Cited by 23 publications

(30 citation statements)

References 46 publications

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“…Therefore, we only provide some hints of its gravitational lensing signals. More sophisticated investigations with inclusion of its spin in the weak [97][98][99][100][101][102][103][104][105][106][107][108][109][110][111][112][113] and strong [114][115][116][117][118] deflection lensing as well as general relativistic magnetohydrodynamics of plasma are indeed needed.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

Xie

2019

Eur. Phys. J. C

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Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole is investigated and its observables are found. By taking the supermassive black holes Sgr A* and M87* respectively in the Galactic Center and at the center of M87 as lenses, we estimate these observables and analyse possibility of detecting this quantum improvement. It is not feasible to distinguish such a black hole by most observables in the near future except for the apparent size of the shadow. We also note that directly using measured shadow of M87* to constrain this quantum effect requires great care.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

Xie

2019

Eur. Phys. J. C

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“…In fact, up to now the problem of 2PN light propagation in the field of moving monopoles has only been considered in [51], where additional approximations were imposed because that investigation was not intended for astrometry within the Solar System. Furthermore, the problem of time-delay of a light signal in the field of a Kerr-Newman black hole in uniform motion has been considered in [52,53], which also does not aim for astrometry in the Solar System. Recently, the coordinate velocity and light trajectory in 2PN approximation in the field of one moving monopole has been determined at the first time in [54].…”

Section: Discussionmentioning

confidence: 99%

Light propagation in 2PN approximation in the field of one moving monopole I. Initial value problem

Zschocke¹

2018

Class. Quantum Grav.

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In this investigation the light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. It is found that the light trajectory depends on the acceleration of the body. Some of these acceleration terms are important in order to get well-defined logarithmic functions with dimensionless arguments, while all the other acceleration terms are negligible on the pico-second level of accuracy in time-delay measurements. The expressions of the observables total light deflection and time delay are determined.PACS numbers: 95.10.Jk, 95.10. Ce, 95.30.Sf, 04.25.Nx, 04.80.Cc

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“…Therefore, practical astrometry necessitates a transformation σ to n as function of s 1 and which contains only those terms which are above the goal accuracy of 1 nas. In (95) the terms depend only on s 1 , except of ϕ 7 , ϕ 9 , and ϕ 10 . Hence, we consider only the series expansion of these three terms, which reads…”

Section: Simplified Expression For the Transformation From σ To Nmentioning

confidence: 99%

“…The transformations k to σ and σ to n were given by Eqs. (78) and (95), respectively, and the transformation k to n was given by Eq. (108).…”

Section: The Vectorial Functions For the Trajectory Of A Light Signalmentioning

confidence: 99%

Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem

Zschocke

2018

Class. Quantum Grav.

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In this investigation the boundary value problem of light propagation in the gravitational field of one arbitrarily moving body with monopole structure is considered in the second post-Newtonian approximation. The solution of the boundary value problem comprises a set of altogether three transformations: k → σ, σ → n, and k → n. Analytical solutions of these transformations are given and the upper limit of each individual term is determined. Based on these results, simplified transformations are obtained by keeping only those terms relevant for the given goal accuracy of 1 nano-arcsecond in light deflection. Like in case of light propagation in the gravitational field of one body at rest, there are socalled enhanced terms which are of second post-Newtonian order but contain one and the same typical large numerical factor. Finally, the impact of enhanced terms beyond 2PN approximation is considered. It is found that enhanced 3PN terms are relevant for astrometry on the level of 1 nano-arcsecond in light deflection, while enhanced 4PN terms are negligible, except for grazing rays at the Sun. PACS numbers: 95.10.Jk, 95.10.Ce, 95.30.Sf, 04.25.Nx, 04.80.Cc arXiv:1812.00728v1 [gr-qc] 3 Dec 2018Light propagation in 2PN approximation in the field of one moving monopole 2 up to 1 milli-arcsecond (mas) in angular accuracies for about 120 thousand stars. The catalogues Tycho [5] and contain positions of about 1 million and 2.5 million stars, respectively, with an accuracy of up to 20 mas in angular resolution which still represents an unprecedented accuracy at that time, also in view of such huge number of individual stars. These catalogues set the precedent on stellar positions and are continuously used in space science research and for spacecraft navigation.

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Second-order time delay by a radially moving Kerr-Newman black hole

Cited by 23 publications

References 46 publications

Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

Weak and strong deflection gravitational lensing by a renormalization group improved Schwarzschild black hole

Light propagation in 2PN approximation in the field of one moving monopole I. Initial value problem

Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem

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