Gravitational lensing by a black hole in Poincar{\'e} gauge theory of gravity

TL;DR

This paper investigates how torsion in Poincaré gauge gravity affects gravitational lensing by a black hole, revealing slight modifications in deflection angles and image positions compared to standard predictions.

Contribution

It introduces a novel analysis of gravitational lensing in Poincaré gauge gravity, incorporating torsion effects into the deflection angle calculations.

Findings

Torsion slightly changes the deflection angle.

Torsion influences the apparent position of lensed images.

Numerical solutions confirm the subtle impact of torsion.

Abstract

Using a recently found black hole solution in the framework of the Poincar{\'e} gauge theory of gravity, we study gravitational lensing for a system where the lens is a static spherically symmetric black hole. By analyzing the equations of motion for light rays in a space-time with torsion, we derive the deflection angle as the light emitted from a source pass through near the black hole and numerically solve the resulting integral. We also study the effects of torsion on the position of images. The results show that the presence of torsion slightly alters both the deflection angle and position of images in this setup.