Strong gravitational lensing in a rotating Kaluza-Klein black hole with squashed horizons

Liyong Ji, Songbai Chen, Jiliang Jing
2014 Journal of High Energy Physics  
We have investigated the strong gravitational lensing in a rotating squashed Kaluza-Klein (KK) black hole spacetime. Our result show that the strong gravitational lensings in the rotating squashed KK black hole spacetime have some distinct behaviors from those in the backgrounds of the four-dimensional Kerr black hole and of the squashed KK Gödel black hole. In the rotating squashed KK black hole spacetime, the marginally circular photon radius ρ_ps, the coefficient a̅, b̅, the deflection angle
more » ... α(θ) in the ϕ direction and the corresponding observational variables are independent of whether the photon goes with or against the rotation of the background, which is different with those in the usual four-dimensional Kerr black hole spacetime. Moreover, we also find that with the increase of the scale of extra dimension ρ_0, the marginally circular photon radius ρ_ps and the angular position of the relativistic images θ_∞ first decreases and then increases in the rotating squashed KK black hole for fixed rotation parameter b, but in the squashed KK Gödel black hole they increase for the smaller global rotation parameter j and decrease for the larger one. In the extremely squashed case ρ_0=0, the coefficient a̅ in the rotating squashed KK black hole increases monotonously with the rotation parameter, but in the squashed KK Gödel black hole it is a constant and independent of the global rotation of the Gödel Universe.
doi:10.1007/jhep03(2014)089 fatcat:sqqfdshmprezti2qfdtbcrioj4