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• W2883605890 startingPage "44" @default.
• W2883605890 abstract "In this letter, we use a recent wormhole solution known as a ringhole [Gonzalez-Diaz, Phys. Rev. D {bf 54}, 6122, 1996] to determine the surface topology and the deflection angle of light in the weak limit approximation using the Gauss-Bonnet theorem (GBT). We apply the GBT and show that the surface topology at the wormhole throat is indeed a torus by computing the Euler characteristic number. As a special case of the ringhole solution, one can find the Ellis wormhole which has the surface topology of a 2-sphere at the wormhole throat. The most interesting results of this paper concerns the problem of gravitational deflection of light in the spacetime of a ringhole geometry by applying the GBT to the optical ringhole geometry. It is shown that, the deflection angle of light depends entirely on the geometric structure of the ringhole geometry encoded by the parameters $b_0$ and $a$, being the ringhole throat radius and the radius of the circumference generated by the circular axis of the torus, respectively. As special cases of our general result, the deflection angle by Ellis wormhole is obtained. Finally, we work out the problem of deflection of relativistic massive particles and show that the deflection angle remains unaltered by the speed of the particles." @default.
• W2883605890 created "2018-08-03" @default.
• W2883605890 creator A5067939397 @default.
• W2883605890 date "2021-02-16" @default.
• W2883605890 modified "2023-10-18" @default.
• W2883605890 title "Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem" @default.
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• W2883605890 doi "https://doi.org/10.3390/universe7020044" @default.
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