Fractional cosmic strings

TL;DR

This paper explores the effects of fractional cosmic strings within an effective quantum gravity framework, analyzing light propagation and deviations caused by these topological defects using fractional calculus.

Contribution

It introduces a novel approach by applying Caputo fractional derivatives to model the geometry of cosmic strings in a fractal universe.

Findings

Light deviation angles are calculated for fractional cosmic strings.

The geodesics of light are derived in the fractional geometry.

Implications for observational signatures of cosmic strings are discussed.

Abstract

Topological defects in the framework of effective quantum gravity model are investigated, based on the hypothesis of an effective fractal dimension of the universe. This is done by using Caputo fractional derivatives to determine the time-space geometry of a fractional cosmic string. Several results for the propagation of light are discussed, notably the light deviation angle due to the defect and the geodesics of light.