Strong Gravitational Lensing in a Brane-World Black Hole

TL;DR

This paper analyzes strong gravitational lensing in a Brane-World black hole, revealing how cosmological and dark matter parameters influence lensing, and suggesting this metric could better describe real gravitational fields for observational purposes.

Contribution

It introduces a strong field limit approach to lensing in a Brane-World black hole, highlighting the impact of specific parameters and comparing with other spacetimes, proposing its relevance for real universe modeling.

Findings

Strong gravitational lensing coefficients depend on black hole parameters.

Cosmology parameter α and dark matter parameter β significantly influence lensing.

Results suggest the Brane-World black hole metric may better describe real gravitational fields.

Abstract

Adopting the strong field limit approach, we investigated the strong gravitational lensing in a Brane-World black hole, which means that the strong field limit coefficients and the deflection angle in this gravitational field are obtained. With this result, it can be said with certainly that the strong gravitational lensing is related to the metric of gravitational fields closely, the cosmology parameter {\alpha} and the dark matter parameter \b{eta} come from the Brane-World black hole exerts a great influence on it. Comparing with the Schwarzschild-AdS spacetime and the Schwarzschild-XCMD spacetime, the parameters {\alpha}, \b{eta} of black holes have the similar effects on the gravitational lensing. In some way, we infer that the real gravitational fields in our universe can be described by this metric, so the results of the strong gravitational lensing in this spacetime will be more reasonable for us to observe. Finally, it has to be noticed that the influence which the parameters {\alpha}, \b{eta} exerted on the main observable quantities of this gravitational field is discussed.