Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Crisnejo, Gabriel; Gallo, Emanuel; Villanueva, J. R.

doi:10.1103/physrevd.100.044006

Cited by 56 publications

(38 citation statements)

References 70 publications

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“…which matches well with the result of the Schwarzschild deflection angle of massive particles up to the second order via other approaches [58][59][60][61][62][64][65][66][67][68][69][70][71]. In the limit v 0 → 1, Eq.…”

Section: Gravitational Deflection Of Massive Particles Due To a Sds Black Holesupporting

confidence: 87%

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Zhou

Feng

et al. 2020

Eur. Phys. J. C

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In this paper, the gravitational deflection of a relativistic massive neutral particle in the Schwarzschild-de Sitter spacetime is studied via the Rindler–Ishak method in the weak-field limit. When the initial velocity $$v_0$$ v 0 of the particle tends to the speed of light, the result is consistent with that obtained in the previous work for the light-bending case. Our result is reduced to the Schwarzschild deflection angle of massive particles up to the second order, if the contributions from the cosmological constant $$\varLambda $$ Λ are dropped. The observable correctional effects due to the deviation of $$v_0$$ v 0 from light speed on the $$\varLambda $$ Λ -induced contributions to the deflection angle of light are also analyzed.

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Section: Gravitational Deflection Of Massive Particles Due To a Sds Black Holesupporting

confidence: 87%

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Zhou

Feng

et al. 2020

Eur. Phys. J. C

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“…Recently, Ref. [76] derived a deflection angle to the first nontrivial order in terms of an energy-momentum distribution of the SSS spacetime. From that point of view, our result here further proves that to the first non-trivial order, ADM mass is the only parameter of an asymptotically flat spacetime that will affect the change of the angular coordinate.…”

Section: B Universal Weak Deflection Angle To the Lowest Non-trivialmentioning

confidence: 99%

The perturbative approach for the weak deflection angle

Jia

2020

Eur. Phys. J. C

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Both null and timelike rays experience trajectory bending in a gravitational field. In this work, we systematically develop a perturbative method to compute the deflection angle of rays with general velocity v in arbitrary static and spherically symmetric spacetimes and in equatorial plane of arbitrary static and axisymmetric spacetimes. We show that the expansion in the large closest approach x0 limit depends on the asymptotic behavior of the metric functions only, and the generated integrand is always integrable, resulting in a deflection angle in a series form of either x0 or b, the impact parameter. Using this method, the deflection angles as series of both x0 and b are found in Schwarzschild, Reissner-Nordström and Kerr-Newman spacetimes to 17-th, 15-th and 6-th orders respectively, for both lightrays and particles with general velocity. The effects of the impact parameter, velocity and other parameters of the spacatimes are briefly analyzed. Moreover, we show that for spacetimes whose metric functions are only asymptotically known, the deflection angle in the weak field limit can also be calculated. Furthermore, it is shown that the deflection angle in general static and spherically symmetric spacetime and equatorial plane of static and axisymmetric spacetime to the lowest non-trivial order, depends only on the impact parameter, velocity of the particle, and the effective ADM mass of the spacetime but not on other parameters such as charge or angular momentum. These deflection angles are used in an exact gravitational lensing equation and the corresponding apparent angles of the images of the source are also solved perturbatively.

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“…In [18] it was established for the first time a correspondence between the motion of light rays in a particular non-homogeneous plasma and the one of relativistic test charged massive particles in vacuum. In the same work, the Gauss-Bonnet method was applied to obtain an expression for the deflection angle in terms of the components of the energy-momentum tensor in a plasma environment generalizing in this way previous works restricted to the pure gravity case [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

2019

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The purpose of this article is twofold. First, we extend the results presented in [1] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes. Second, by using a correspondence between the motion of light rays in a cold non magnetized plasma and relativistic test massive particles we show that this technique is not only powerful to obtain the leading order behavior of the deflection angle of massive/massless particles in the weak field regime but also to obtain higher order corrections. We particularize it to a Kerr background where we compute the deflection angle for test massive particles and light rays propagating in a non homogeneous cold plasma by including third order corrections in the mass and spin parameters of the black hole.PACS numbers:

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Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor

Cited by 56 publications

References 70 publications

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

The perturbative approach for the weak deflection angle

Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem

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