Negative time delay of light by a gravitational concave lens

Abstract

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power [Kitamura, Nakajima and Asada, PRD 87, 027501 (2013)]. We reexamine the time delay of light in a gravitational concave lens as well as a gravitational convex one. The frequency shift due to the time delay is also investigated. We show that the sign of the time delay in the lens models is the same as that of the deflection angle of light. The size of the time delay decreases with increase in the parameter $n$. We discuss also possible parameter ranges that are relevant to pulsar timing measurements in our galaxy.

16 pages, 7 figures. arXiv admin note: text overlap with arXiv:1307.6637

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• Conservation of distortion of gravitationally lensed images
• Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere
• Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
• Wormhole formation in massive gravity: An analytic description
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• Microlensing effects of wormholes associated to blackhole spacetimes
• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
• Microlensing effect of charged spherically symmetric wormhole
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