Particle Motion and Plasma Effects on Gravitational Weak Lensing in Lorentzian Wormhole Spacetime

Sanjar Shaymatov,Bobomurat Ahmedov,Farruh Atamurotov

doi:10.3390/galaxies9030054

Abstract

Here we study particle motion in the specific Lorentzian wormhole spacetime characterized, in addition to the total mass M, with the dimensionless parameter λ. In particular we calculate the radius of the innermost stable circular orbit (ISCO) for test particles and the photonsphere for massless particles. We show that the effect of the dimensionless wormhole parameter decreases the ISCO radius and the radius of the photon orbit. Then, we study plasma effects on gravitational weak lensing in wormhole spacetime and obtain the deflection angle of the light. We show that the effect of λ decreases the deflection angle. We study the effects of uniform and non-uniform plasma on the light deflection angle separately, and show that the uniform plasma causes the deflection angle to be smaller in contrast to the non-uniform plasma.

Highlights

In general relativity (GR), black holes are very exciting and fascinating objects, with geometric properties that pertain to the occurrence of singularity
In this work we studied the motion of test massive and massless particles and the effect of plasma on gravitational weak lensing by Lorentzian wormhole
The radii of photon orbit and innermost stable circular orbit (ISCO) were obtained in Lorentzian wormhole spacetime

Summary

Introduction

In general relativity (GR), black holes are very exciting and fascinating objects, with geometric properties that pertain to the occurrence of singularity. The optical properties of wormholes in the presence of a plasma medium were studied in [35], and particle motion around a static axially symmetric wormhole has been considered [36]. Recent analyses suggest that the wormholes are intriguing objects in GR, to astrophysical black holes The investigation of their remarkable properties (e.g., optical properties) is very important, as it is possible to analyze the recent image of the detected M87 galaxy to distinguish between two geometries (i.e., wormholes and black holes).

Wormhole Spacetime Metric and Geodesic Equation

Weak-Field Lensing

Uniform Plasma

Non-Uniform Plasma

Conclusions