Regular phantom black hole gravitational lensing

TL;DR

This paper investigates gravitational lensing effects caused by regular phantom black holes, analyzing deflection angles, image positions, magnifications, and time delays, and comparing these with Schwarzschild and Brans-Dicke black holes.

Contribution

It provides the first detailed analysis of lensing by regular phantom black holes, including weak and strong deflection limits and comparative results.

Findings

Deflection angles calculated for both limits.

Image positions and magnifications characterized.

Time delays between images estimated.

Abstract

We study regular and asymptotically flat phantom black holes as gravitational lenses. We obtain the deflection angle in both the weak and the strong deflection limits, from which we calculate the positions, magnifications, and time delays of the images. We compare our results with those corresponding to the Schwarzschild solution and to the vacuum Brans-Dicke black hole.