Gravitational Lensing by Wormholes

Dey, Tushar Kanti; Sen, Surajit

doi:10.1142/s0217732308025498

Cited by 94 publications

(94 citation statements)

References 21 publications

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“…and claimed that the Ellis wormhole does not have a light sphere [23]. Under the weak-field approximation, the deflection angle becomes [23] …”

Section: Discussionmentioning

confidence: 99%

“…Dey and Sen claimed that there are no images with N ≥ 1 made light rays passing near a light sphere in the Ellis wormhole spacetime because of absence of the light sphere [23].…”

Section: Discussionmentioning

confidence: 99%

“…It is worth noting that the leading term of the deflection angle under the weak-field approximation in [23] is the same as the one in Eq. (2.9), i.e, πk 2 /4.…”

Section: Discussionmentioning

confidence: 99%

“…Cramer et al [17] and then gravitational lensing effects of negative mass wormholes [18,19] and positive mass wormholes [20][21][22][23] were studied.…”

Section: Introductionmentioning

confidence: 99%

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Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

Tsukamoto

2016

Phys. Rev. D

130

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Observations of gravitational lenses in strong gravitational fields give us a clue to understanding dark compact objects. In this paper, we extend a method to obtain a deflection angle in a strong deflection limit provided by Bozza [Phys. Rev. D 66, 103001 (2002)] to apply to ultrastatic spacetimes. We also discuss on the order of an error term in the deflection angle. Using the improved method, we consider gravitational lensing by an Ellis wormhole, which is an ultrastatic wormhole of the Morris-Thorne class.

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“…and claimed that the Ellis wormhole does not have a light sphere [23]. Under the weak-field approximation, the deflection angle becomes [23] …”

Section: Discussionmentioning

confidence: 99%

“…Dey and Sen claimed that there are no images with N ≥ 1 made light rays passing near a light sphere in the Ellis wormhole spacetime because of absence of the light sphere [23].…”

Section: Discussionmentioning

confidence: 99%

“…It is worth noting that the leading term of the deflection angle under the weak-field approximation in [23] is the same as the one in Eq. (2.9), i.e, πk 2 /4.…”

Section: Discussionmentioning

confidence: 99%

“…Cramer et al [17] and then gravitational lensing effects of negative mass wormholes [18,19] and positive mass wormholes [20][21][22][23] were studied.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

Tsukamoto

2016

Phys. Rev. D

130

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“…[58]. The deflection angle of the light ray was calculated first by Chetouani and Clement [48] and then by several authors [22,[38][39][40][41][49][50][51]. Various gravitational lensing effects [38, 40-47, 52, 70-75], a particle collision [76], a shadow [77][78][79], visualization [80], quantum metrology [81,82], and several observables like a rotation curve [83] [42] with femtolensing of gamma-ray bursts [85] in the data of the Fermi Gamma-Ray Burst…”

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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Gravitational Lensing by Traversable Wormholes Supported by Three‐Form Fields

2023

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In this paper, the deflection angle of light by traversable wormholes, which are supported by the three‐form fields, are studied. The specific forms of the redshift and shape functions that produce results compatible with the energy conditions at throat of the wormholes are used. Having used the well‐defined parameter sets of the three‐form wormholes, the photon geodesic motion is investigated under the effective potential of the wormhole background. As a result, it is discovered that the radius of the photon sphere can be used to analyze the geometrical structures of a physical wormhole. The analytical form of the effective potential is used to figure out a deflection angle of light caused by wormholes with the three‐from fields. In this work, the relativistic images generated from the wormholes are also constructed.

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Gravitational Lensing by Wormholes

Cited by 94 publications

References 21 publications

Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

Strong deflection limit analysis and gravitational lensing of an Ellis wormhole

Retrolensing by a wormhole at deflection anglesπand3π

Gravitational Lensing by Traversable Wormholes Supported by Three‐Form Fields

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