Gravitational Lensing by Polytropic Wormholes

TL;DR

This paper derives static multi-polytropic wormhole solutions in general relativity, analyzes their gravitational lensing effects, and explores their physical viability through energy conditions and microlensing light curves.

Contribution

It introduces new multi-polytropic wormhole solutions and studies their gravitational lensing properties in both weak and strong fields.

Findings

Wormhole solutions are asymptotically Minkowskian and satisfy local wormhole conditions.

Calculated deflection angles for weak and strong gravitational lensing.

Produced microlensing light curves for galactic and extragalactic scenarios.

Abstract

We obtain static multi-polytropic wormhole solutions in the framework of GR gravity. The resulting metric is asymptotically Minkowskian, and locally that of a wormhole. We also examine gravitational lensing by the wormhole, and calculate the deflection angle for weak and strong field limits. We investigate microlensing in the weak field limit and obtain corresponding light curves for both galactic and extragalactic situations. We discuss the multi-polytropic equation of state for the energy-momentum tensor which supports this geometry and finally, we check for the satisfaction of the weak energy condition.