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Strong gravitational lensing in a squashed Kaluza-Klein G\"{o}del black hole by Chen, Songbai; Liu, Yue; Jing, Jiliang is a scholarly article available to read on EtoBox.

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

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. Moreover, the coefficient of $\bar{b}$ increases with $j$ in the squashed Kaluza-Klein G\"{o}del 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 $\bar{a}$ is a constant 1 and is independent of the global rotation of the G\"{o}del Universe

Author

Chen, Songbai; Liu, Yue; Jing, Jiliang

Published

2011

Language

EN