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

Crisnejo, Gabriel; Gallo, Emanuel; Jusufi, Kimet

doi:10.1103/physrevd.100.104045

Cited by 64 publications

(46 citation statements)

References 51 publications

(84 reference statements)

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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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“…Let us now turn our attention to the gravitational deflection of relativistic massive particles in the spacetime of a LQBH using the approach introduced in Ref. [107]. It is worthwhile to mention that the calculation of the deflection angle for different black holes is a very attractive area in the studying of strong gravity features of black holes, see refs.…”

Section: Gravitational Deflection Of Massive Particlesmentioning

confidence: 99%

“…Note that l is an affine parameter [107], and S and R represent the source and receiver, respectively. Calculating the Gaussian optical curvature to leading order terms we find…”

Section: Gravitational Deflection Of Massive Particlesmentioning

confidence: 99%

Shadow and quasinormal modes of a rotating loop quantum black hole

et al. 2020

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In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-Aïnou's non-complexification procedure, and study the effects of loop quantum gravity (LQG) on its shadow. Given the rotating LQBH, we discuss its horizon, ergosurface, and regularity as r → 0. Depending on the values of the specific angular momentum a and the polymeric function P arising from LQG, we find that the rotating solution we obtained can represent a regular black hole, a regular extreme black hole, or a regular spacetime without horizon (a non-black-hole solution). We also study the effects of LQG and rotation, and show that, in addition to the specific angular momentum, the polymeric function also causes deformations in the size and shape of the black hole shadow. Interestingly, for a given value of a and inclination angle θ0, the apparent size of the shadow monotonically decreases, and the shadow gets more distorted with increasing P . We also consider the effects of P on the deviations from the circularity of the shadow, and find that the deviation from circularity increases with increasing P for fixed values of a and θ0. Additionally, we explore the observational implications of P in comparing with the latest Event Horizon Telescope (EHT) observation of the supermassive black hole, M87*. The connection between the shadow radius and quasinormal modes in the eikonal limit as well as the deflection of massive particles are also considered.

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“…Jia in [32] scrutinizes the weak gravitational deflection of relativistic massive particles for a receiver and source at finite distance from the lens in stationary, axisymmetric and asymptotically flat spacetimes by extending the generalized optical metric method to the generalized Jacobi metric method using the Jacobi-Maupertuis Randers-Finsler metric. Crisnejo et al have shown that the Gauss-Bonnet theorem can be applied to describe the deflection angle of light rays in plasma media in stationary spacetimes in [33] and also have obtained the leading order behavior of the deflection angle of massive/massless particles in the weak field regime with higher order corrections in a cold non magnetized plasma. The equivalence of the Gibbons-Werner method to the standard geodesic method with the case study of Kerr-Newman spacetime especially for the asymptotically flat case in [34] by Li and Zhou.…”

Section: Introductionmentioning

confidence: 99%

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

2021

Turk J Phys

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In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied apropos of the gravitational lensing phenomenon in the weak field limits. Some exclusive instances are deliberated while calculating the deflection angle, beginning with the finite-distance corrections on nonasymptotically flat spacetimes. Effects of plasma medium is then inspected to observe its contribution to the deflection angle. Finally, the Jacobi metric is explored as an alternative method, only to arrive at similar results. All of the cases are probed in three constructs, one as a generic statement of explanation, one for black holes, and one for wormholes, so as to gain a perspective on every kind of influence.

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

Cited by 64 publications

References 51 publications

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Shadow and quasinormal modes of a rotating loop quantum black hole

Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

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