Propagation of massless particles around a BTZ-ModMax black hole

TL;DR

This paper analyzes how the ModMax parameter and cosmological constant affect light deflection around a BTZ black hole, using null geodesics and the Gauss-Bonnet theorem to explore gravitational lensing in a modified lower-dimensional spacetime.

Contribution

It introduces a detailed study of light deflection in a BTZ-ModMax black hole, highlighting the effects of nonlinear electrodynamics on gravitational lensing phenomena.

Findings

Deflection angle depends on ModMax parameter and cosmological constant.

Comparison shows differences between BTZ-ModMax and standard BTZ black holes.

Insights into nonlinear electrodynamics influence on spacetime curvature.

Abstract

We investigate the deflection of light around a BTZ-ModMax black hole, focusing on the influence of the ModMax parameter and the cosmological constant. The trajectories of massless particles are explored through an analysis of null geodesics, providing deeper insights into the gravitational lensing effects in this modified black hole geometry. Using the Gauss-Bonnet theorem, we derive the deflection angle of light and provide a detailed examination of how the ModMax parameter and the cosmological constant impact the bending of light. Furthermore, we compare the deflection results obtained for the BTZ-ModMax black hole with those of the charged and static BTZ black hole solution, highlighting key differences and insights into the role of nonlinear electrodynamics in the gravitational lensing phenomena. This study provides valuable insights into the deflection of light in modified black hole solutions within the framework of lower-dimensional geometry, highlighting the complex relationship between nonlinear dynamics and spacetime curvature.