Effect of electric interaction on the deflection and gravitational lensing in the strong field limit

Zhou, Shangjie; Chen, Muchun; Jia, J.

doi:10.48550/arxiv.2203.05415

Cited by 4 publications

(4 citation statements)

References 45 publications

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“…The other method is the perturbative method developed by some authors of this paper. The method can also calculate the deflection of both null and timelike signals [31] and has been extended to include the finite distance effect [32] and the extra kind of force [33,34] too. Moreover, the perturbative method can be used in arbitrary stationary and axisymmetric spacetimes [31,32], as well as in the strong field limit [35].…”

Section: Introductionmentioning

confidence: 99%

Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Wang²,

Hu³

et al. 2023

Class. Quantum Grav.

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Using a perturbative technique, in this work we study the deflection of null and timelike signals in the extended Einstein-Maxwell spacetime, the Born-Infeld gravity and the charged Ellis-Bronnikov (CEB) spacetime in the weak field limit. The deflection angles are found to take a (quasi-)series form of the impact parameter, and automatically takes into account the finite distance effect of the source and observer. The method is also applied to find the deflections in CEB spacetime with arbitrary dimension. It's shown that to the leading non-trivial order of the deflection in some $n$-dimensional spacetimes is of the order $\mathcal{O}(M/b)^{n-3}$. We then extended the method to spacetimes that are asymptotically non-flat and studied the deflection in a nonlinear electrodynamical scalar theory. The deflection angle in such asymptotically non-flat spacetimes at the trivial order is found to be not $\pi$ anymore. In all these cases, the perturbative deflection angles are shown to agree with numerical results extremely well. The effects of some nontrivial spacetime parameters as well as the signal velocity on the deflection angles are analyzed.

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Section: Introductionmentioning

confidence: 99%

Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Wang²,

Hu³

et al. 2023

Class. Quantum Grav.

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“…Recently, we have investigated the deflection and GL of such particles, as well as those of null signals, in the SDL in static and spherically symmetric spacetimes [43][44][45]. Our approach employs a perturbative method that automatically accounts for the finite distance effect of JCAP07(2023)036 the source and detector.…”

Section: Introductionmentioning

confidence: 99%

Deflection and gravitational lensing with finite distance effect in the strong deflection limit in stationary and axisymmetric spacetimes

Duan

Lin

Jia

2023

J. Cosmol. Astropart. Phys.

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We study the deflection and gravitational lensing (GL) of both timelike and null signals in the equatorial plane of arbitrary stationary and axisymmetric spacetimes in the strong deflection limit. Our approach employs a perturbative method to show that both the deflection angle and the total travel time take quasi-series forms ∑ n=0 [Cn ln (1-bc/b) + Dn ] (1-bc/b) n , with the coefficients Cn and Dn incorporating the signal velocity and finite distance effect of the source and detector. This new deflection angle allows us to establish an accurate GL equation from which the apparent angles of the relativistic images and their time delays are found. These results are applied to the Kerr and the rotating Kalb-Ramond (KR) spacetimes to investigate the effect of the spacetime spin in both spacetimes, and the effective charge parameter and a transition parameter in the rotating KR spacetime on various observables. Moreover, using our approach, the effect of the signal velocity and the source angular position on these variables is also studied.

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“…Theoretically, in recent years different methods have been developed to compute the deflection of massive signals. These methods, including the Gauss-Bonnet theorem method [15][16][17] and perturbative method [18,19], might be used to spacetimes with different symmetries or generalities [20,21], or to include the finite distance effect of the source and detector [17,19,22], and to handle the extra Lorentz force from electromagnetic field [16,20,[23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing

Zhuoming¹,

Fan²,

Jia³

2022

Preprint

Self Cite

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Spin of a test particle is a fundamental property that can affect its motion in a gravitational field. In this work we consider the effect of particle spin on its deflection angle and gravitational lensing in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. To do this we developed a perturbative method that can be applied to spinning signals with arbitrary asymptotic velocity and takes into account the finite distance effect of the source and the observer. The deflection angle ∆ϕ and total travel time ∆t are expressed as (quasi-)power series whose coefficients are polynomials of the asymptotic expansion coefficients of the metric functions. It is found that when the spin and orbital angular momenta are parallel (or antiparallel), the deflection angle is decreased (or increased). Apparent angles θ of the images in gravitational lensing and their time delays are also solved. In Kerr spacetime, spin affects the apparent angle θK in a way similar to its effect on ∆ϕK . The time delay between signals with opposite spins is found to be proportional to the signal spin at leading order. These time delays might be used to constrain the spin to mass ratio of neutrinos.

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Effect of electric interaction on the deflection and gravitational lensing in the strong field limit

Cited by 4 publications

References 45 publications

Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Deflection and gravitational lensing with finite distance effect in the strong deflection limit in stationary and axisymmetric spacetimes

Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing

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