Strong gravitational lensing in a squashed Kaluza-Klein Godel black hole

We investigate the strong gravitational lensing in a squashed Kaluza-Klein black hole immersed in the Godel universe with global rotation. Our results show that the strong gravitational lensing in the squashed Kaluza-Klein Godel black hole spacetime has some distinct behaviors from that in the Kerr case. In the squashed Kaluza-Klein Godel black hole spacetime, the photon sphere radius, the minimum impact parameter, the coefficient (a) over bar,(b) over bar, 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 Godel Universe. While in the Kerr black hole, the values of these quantities for the prograde photons are different from those for the retrograde photons. Moreover, the coefficient of (b) over bar increases with j in the squashed Kaluza-Klein Godel black hole, but decreases with a in the Kerr case. We also probe the influence of the squashed effect on the strong gravitational lensing in this black hole and find that in the extremely squashed case rho(0) = 0, the coefficient (a) over bar a is a constant 1 and is independent of the global rotation of the Godel Universe. Furthermore, we assume that the gravitational field of the supermassive central object of the Galaxy can be described by this metric and estimate the numerical values of the coefficients and the main observables in the strong gravitational lensing.