Light on curved backgrounds

TL;DR

This paper investigates the behavior of light on various exotic and standard spacetime backgrounds, analyzing deflection, lensing, and bound states, with improved accuracy for classical metrics.

Contribution

It provides a comprehensive analysis of light motion on diverse, exotic spacetime metrics, including new insights into lensing and bound states, extending previous studies with enhanced precision.

Findings

Lensing properties vary significantly across different metrics.

Bound states of light are possible in certain exotic geometries.

Improved accuracy in lensing calculations for Schwarzschild and Schwarzschild-de Sitter metrics.

Abstract

We consider the motion of light on different spacetime manifolds by calculating the deflection angle, lensing properties and by probing into the possibility of bound states. The metrics in which we examine the light motion include, among other, a general relativistic Dark Matter metric, a dirty Black Hole and a Worm Hole metric, the last two inspired by non-commutative geometry. The lensing in a Holographic Screen metric is discussed in detail. We study also the bending of light around naked singularities like, e.g., the Janis-Newman-Winicour metric and include other cases. A generic property of light behaviour in these exotic metrics is pointed out. For the standard metric like the Schwarzschild and Schwarzschild-de Sitter cases we improve the accuracy of the lensing results for the weak and strong regime.