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

TL;DR

This paper studies how extra dimensions in a squashed Kaluza-Klein black hole affect strong gravitational lensing, providing insights into potential observational signatures of higher-dimensional gravity.

Contribution

It introduces a detailed analysis of strong gravitational lensing in a squashed Kaluza-Klein black hole, highlighting the impact of extra dimensions on lensing observables.

Findings

The size of the extra dimension influences the photon sphere radius.

Deflection angles and image positions are affected by the extra dimension.

Numerical estimates suggest observable effects in galactic center lensing scenarios.

Abstract

We investigate the strong gravitational lensing in a Kaluza-Klein black hole with squashed horizons. We find the size of the extra dimension imprints in the radius of the photon sphere, the deflection angle, the angular position and magnification of the relativistic images. Supposing that the gravitational field of the supermassive central object of the Galaxy can be described by this metric, we estimated the numerical values of the coefficients and observables for gravitational lensing in the strong field limit.