2011

Strong gravitational lensing in a squashed Kaluza-Klein G\"{o}del black hole

Chen, Songbai, Liu, Yue, Jing, Jiliang

Understand

We investigate the strong gravitational lensing in a squashed Kaluza-Klein black hole immersed in the G\"{o}del universe with global rotation.

Our result show that the strong gravitational lensing in the squashed Kaluza-Klein G\"{o}del black hole spacetime has some distinct behaviors from that in the Kerr case.
In the squashed Kaluza-Klein G\"{o}del black hole spacetime, the photon sphere radius, the minimum impact parameter, the coefficient $\bar{a}$, $\bar{b}$ and the deflection angle $\alpha(\theta)$ in the $\phi$ direction are independent of whether the photon goes with or against the global rotation of the G\"{o}del Universe.
While in the Kerr black hole, the values of these quantities for the prograde photons are different from those for the retrograde photons.

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