Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

He, Guansheng; Zhou, Xia; Feng, Zhong-Wen; Mu, Xueling; Wang, Hui; Li, Weijun; Pan, Chaohong; Wang, Lin

doi:10.1140/epjc/s10052-020-8382-z

Cited by 27 publications

(15 citation statements)

References 96 publications

(87 reference statements)

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“…( 15) of Ref. [47] for its value in SdS spacetime), was previously computed for light rays and timelike signals in SdS spacetime in Refs. [35][36][37] and [47] respectively.…”

Section: B Dependence Of the Apparent Angle On λmentioning

confidence: 99%

“…[47] for its value in SdS spacetime), was previously computed for light rays and timelike signals in SdS spacetime in Refs. [35][36][37] and [47] respectively. Although in these works, θ was called the "deflection angle" and this choice of r b is not well justified [50], nevertheless we plugged r d = r b into Eq.…”

Section: B Dependence Of the Apparent Angle On λmentioning

confidence: 99%

“…There are still few works that considered the deflection of timelike rays in (a)dS spacetimes. Previous research either mainly concentrated on the influence of Λ on some general features of the massive particles' trajectory, such as its perihelion shift [42][43][44][45] or innermost stable circular orbits [46], or at most studied deflection of timelike rays in a particular spacetime [47]. In other words, a general method that can deal with arbitrary static and spherically symmetric (SSS) and asymptotically (a)dS spacetimes, like what Ref.…”

Section: Introductionmentioning

confidence: 99%

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Deflection and gravitational lensing of null and timelike signals in general asymptotically (anti-)de Sitter spacetimes

Li,

Liu,

Jia

2021

Preprint

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The deflection and gravitational lensing of light and massive particles in arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes are considered in this work. We first proved that for spacetimes whose metric satisfying certain conditions, the deflection of null rays with fixed closest distance will not depend on the cosmological constant Λ, while that of timelike signals and the apparent angle in gravitational lensing still depend on Λ. A two-step perturbative method is then developed to compute the change of the angular coordinate and total travel time in the weak field limit. The results are quasi-series of two small quantities, with the finite distance effect of the source/detector naturally taken into account. These results are verified by applying to some known de Sitter spacetimes. Using an exact gravitational lensing equation, we solved the apparent angles of the images and time delays between them and studied the effect of Λ on them. It is found that generally, a small positive Λ will decrease the apparent angle of images from both sides of the lens and increase the time delay between them. The time delay between signals from the same side of the lens but with different energy however, will be decreased by Λ.

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“…( 15) of Ref. [47] for its value in SdS spacetime), was previously computed for light rays and timelike signals in SdS spacetime in Refs. [35][36][37] and [47] respectively.…”

Section: B Dependence Of the Apparent Angle On λmentioning

confidence: 99%

Section: B Dependence Of the Apparent Angle On λmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Deflection and gravitational lensing of null and timelike signals in general asymptotically (anti-)de Sitter spacetimes

Li,

Liu,

Jia

2021

Preprint

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“…Previously, trajectory deflection and GL of neutral massive signals, including neutrinos and GWs in some gravitational theories beyond GR, have been studied by many researchers. The dependence of the deflection an-gle and GL observables on the general metric functions and signal properties have been studied in the weak field limit using both the perturbative method [21][22][23][24][25][26][27][28][29] and Gauss-Bonnet theorem method [30][31][32][33][34][35][36][37]. Recently, there is a resurgence of interest to study the deflection of charged massive particles (CMP) in charged spacetimes [32,38,39].…”

Section: Introductionmentioning

confidence: 99%

Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing

Xu,

Jiang,

Jia

2021

Preprint

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The trajectory deflection and gravitational-electromagnetic dual lensing (GEL) of charged signal in general charged static and spherically symmetric spacetimes are considered in this work. We showed that the perturbative approach previously developed for neutral particles can be extended to the electromagnetic interaction case. The deflection angle still takes a (quasi-)series form and the finite distance effect of both the source and observer can be taken into account. Comparing to pure gravitational case, the apparent angles of the images in the GEL, their magnifications and time delay all receive the electromagnetic corrections starting from the first non-trivial order. The sign and relative size of the leading corrections are determined by ∼ Q M q E where M, Q, q, E are the spacetime mass and charge, and signal particle charge and energy respectively. It is found that for qQ > 0 (or < 0), the electromagnetic interaction will decrease (or increase) the deflection angle, and in GEL the impact parameters, apparent angles, magnifications and total travel time for each image. The time delay is increased for small β and qQ > 0, and otherwise always increased regardless the sign of qQ. The results are then applied to the deflection and GEL of charged protons in cosmic rays in Reissner-Nordstrom, charged dilaton and charged Horndeski spacetimes.

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“…Gravitational lensing is also an important tool for the study of gravity [88][89][90][91][92][93]. Gibbons and Werner have proposed an alternative method for calculating the deflection angle in weak field limits for the asymptotitacally flat black holes [94].…”

mentioning

confidence: 99%

Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT

Uniyal¹,

Pantig²,

Овгун³

2022

Preprint

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Nonlinear interaction between the electromagnetic fields (EMF) are occurred when vacuum polarization in quantum electrodynamics (QED) happens. The field of nonlinear electrodynamics which may be resulting from this interaction could have important effects on black hole physics. In this paper, we consider the asymptotically flat black hole solution in Einstein-nonlinear electrodynamics (NLE) fields. We study the effect of the NLE parameters on the black hole deflection angle using Gauss-bonnet theorem in weak field limits, shadow cast using null geodesics method, and thin accretion disk using the Novikov-Thorne model, in particular, the time averaged energy flux, the disk temperature, the differential luminosity, the different emission profiles, and infalling spherical accretion are studied. Then we show how the physical quantities dependence on β and C parameters of NLE and provide some constraints on the NLE parameters using the observations of M87* and Sgr A* from EHT.

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Gravitational deflection of massive particles in Schwarzschild-de Sitter spacetime

Cited by 27 publications

References 96 publications

Deflection and gravitational lensing of null and timelike signals in general asymptotically (anti-)de Sitter spacetimes

Deflection and gravitational lensing of null and timelike signals in general asymptotically (anti-)de Sitter spacetimes

Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing

Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT

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