Light Behaviors around Black Holes in M-theory

TL;DR

This paper investigates how light bends and moves around black holes derived from M-theory, analyzing the effects of brane configurations and rotation on light deflection and trajectories.

Contribution

It introduces a novel analysis of light behavior near M-theory black holes using the Gauss-Bonnet theorem and explores the influence of brane number and rotation.

Findings

Deflection angles depend on brane number and rotation.

Light trajectories are affected by M2 and M5 brane configurations.

The study provides insights into optical properties of M-theory black holes.

Abstract

We study the deflection angle and the trajectory of the light rays around black holes in M-theory scenarios. Using the Gauss-Bonnet theorem, we first compute and examine the deflection angle of the light rays near four and seven-dimensional AdS black holes obtained from the M-theory compactifications on the real spheres on $S^7$ and $S^4$, respectively. We discuss the effect of the M-theory brane number and the rotating parameter on such an optical quantity. We then investigate the trajectories of the light rays using the equation of motion associated with $M2$ and $M5$ branes.