Abstract
In this Letter we investigate the strong gravitational lansing in a charged squashed Kaluza–Klein Gödel black hole. The deflection angle is considered by the logarithmic term proposed by Bozza et al. Then we study the variation of deflection angle and its parameters a¯ and b¯. We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza–Klein black hole in a Gödel background. Then by the relations between lensing parameters and observables, we estimate the observables for different values of charge, extra dimension and Gödel parameters.
Highlights
As we know the light rays or photons would be deviated from their straight way when they pass close to the massive object such as black holes
We see the effects of the scale of the extra dimension, charge of black hole and Godel parameter on the coefficients and observables of strong gravitational lensing
We study the effect of the charge parameter ρq, the scale of extra dimension ρ0 and Godel parameter on the deflection angle and it’s coefficients in the equatorial plane (θ = π/2)
Summary
As we know the light rays or photons would be deviated from their straight way when they pass close to the massive object such as black holes. This deflection of light rays is known as gravitational lensing. Other studies have been led by Klimov, Liebes, refsdal and Bourassa and Kantowski [2]. Klimov investigated the lensing of galaxies by galaxies [3], but Liebes studied the lensing of stars by stars and stars by clusters in our galaxy [4]. Refsdal showed that the geometrical optics can be used for investigating
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