Can massless wormholes mimic a Schwarzschild black hole in the strong field lensing?

TL;DR

This paper investigates whether massless wormholes can mimic Schwarzschild black hole lensing features, finding that in certain theories they can closely resemble black holes, but differences arise due to additional charges in other theories.

Contribution

The study compares strong field lensing observables of massless wormholes in two theories, showing that some can mimic black holes while others cannot due to extra parameters.

Findings

Massless EMS wormholes can mimic black hole lensing observables.

EMD wormholes show significant differences due to dilatonic charge.

Massless alone can mimic Schwarzschild black holes in some theories.

Abstract

Recent trend of research indicates that not only massive but also massless (asymptotic Newtonian mass zero) wormholes can reproduce post-merger initial ring-down gravitational waves characteristic of black hole horizon. In the massless case, it is the non-zero charge of other fields, equivalent to what we call here the "Wheelerian mass", that is responsible for mimicking ring-down quasi-normal modes. In this paper, we enquire whether the same Wheelerian mass can reproduce black hole observables also in an altogether different experiment, viz., the strong field lensing. We examine two classes of massless wormholes, one in the Einstein-Maxwell-Dilaton (EMD) theory and the other in the Einstein-Minimally-coupled-Scalar field (EMS) theory. The observables such as the radius of the shadow, image separation and magnification of the corresponding Wheelerian masses are compared with those of a black hole (idealized SgrA* chosen for illustration) assuming that the three types of lenses share the same minimum impact parameter and distance from the observer. It turns out that, while the massless EMS\ wormholes can closely mimic the black hole in terms of strong field lensing observables, the EMD wormholes show considerable differences due to the presence of dilatonic charge. The conclusion is that masslessless alone is enough to closely mimic Schwarzschild black hole strong lensing observables in the EMS theory but not in the other, where extra parameters also influence those observables. The motion of timelike particles is briefly discussed for completeness.