Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit

Ishihara, Asahi; Suzuki, Yusuke; Ono, Toshiaki; Asada, Hideki

doi:10.1103/physrevd.95.044017

Cited by 167 publications

(137 citation statements)

References 33 publications

(56 reference statements)

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“…In Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34] we find applications of the method to the study of a variety of different spacetimes with spherical symmetry, and in [35] the method was modified by Werner in order to allow the study of gravitational lensing in rotating and stationary spacetimes. This new version was applied to a variety of metrics in Refs.…”

Section: Introductionmentioning

confidence: 99%

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

2018

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We apply the Gauss-Bonnet theorem to the study of light rays in a plasma medium in a static and spherically symmetric gravitational field and also to the study of timelike geodesics followed for test massive particles in a spacetime with the same symmetries. The possibility to using the theorem follows from a correspondence between timelike curves followed by light rays in a plasma medium and spatial geodesics in an associated Riemannian optical metric. A similar correspondence follows for massive particles. For some examples and applications, we compute the deflection angle in weak gravitational fields for different plasma density profiles and gravitational fields.PACS numbers:

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Section: Introductionmentioning

confidence: 99%

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

2018

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“…In 1959 Darwin pointed out that an infinite number of ghost images appear near a light sphere or photon sphere [5,6] in the Schwarzschild spacetime [7]. The gravitational lensing of these faint images has been discussed by several authors [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Retrolensing by a wormhole at deflection anglesπand3π

Tsukamoto

2017

Phys. Rev. D

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The deflection angle of a light ray can be arbitrarily large near a light sphere. The timesymmetrical shape of light curves of a pair of light rays reflected by a light sphere of a lens object does not depend on the details of the lens object. We consider retrolensing light curves of sunlight with deflection angles π and 3π by an Ellis wormhole, which is the simplest MorrisThorne wormhole. If an Ellis wormhole with a throat parameter a = 10 11 km is 100 pc away from an observer and if the Ellis wormhole, the observer, and the sun are aligned perfectly in this order, the apparent magnitudes of a pair of light rays with deflection angles π and 3π become 11 and 18, respectively. The two pairs of light rays make a superposed light curve with two separable peaks and they break down time symmetry of a retrolensing light curve. The observation of the two separated peaks of the light curves gives us information on the details of the lens object. If the observer can also separate the pair of the images with the deflection angle π into a double image, he or she can say whether the retrolensing is caused by an Ellis wormhole or a Schwarzschild black hole. * tsukamoto@rikkyo.ac.jp

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“…Very recently, Werner [87] extended and applied the optical geometry to the case of stationary black holes. Further, under some physically realistic assumptions GBT was used in studies of various astrophysical objects, such as Ellis wormholes by Jusufi [88], wormholes in Einstein-Maxwell-dilaton theory [89][90][91], black holes with topological defects and deflection angle for finite distance by Ishihara et al [88,[98][99][100][101][102][103]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Deflection of light by black holes and massless wormholes in massive gravity

et al. 2018

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Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov, JHEP 0904:100, 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass M and an extra parameter S namely 'scalar charge'. These black hole reduce to the standard Schwarzschild black hole solutions when the scalar charge is zero and the mass is positive. In addition, a parameter λ in the metric characterizes so-called 'hair'. The geodesic equations are used to examine the behavior of the deflection angle in four relevant cases of the parameter λ. Then, by introducing a simple coordinate transformation r λ = S + v 2 into the black hole metric, we were able to find a massless wormhole solution of Einstein-Rosen (ER) (Einstein and Rosen, Phys Rev 43:73, 1935) type with scalar charge S. The programme is then repeated in terms of the Gauss-Bonnet theorem in the weak field limit after a method is established to deal with the angle of deflection using different domains of integration depending on the parameter λ. In particular, we have found new analytical results corresponding to four special cases which generalize the well known deflection angles reported in the literature. Finally, we have established the time delay problem in the spacetime of black holes and wormholes, respectively. a

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Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit

Cited by 167 publications

References 33 publications

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment

Retrolensing by a wormhole at deflection anglesπand3π

Deflection of light by black holes and massless wormholes in massive gravity

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