The regular cosmic string in Born-Infeld gravity

TL;DR

This paper demonstrates that Born-Infeld gravity, a high-energy modification of Einstein's theory, eliminates singularities associated with cosmic strings, resulting in a regular, non-singular spacetime with unique geometric properties.

Contribution

It introduces a vacuum solution in Born-Infeld gravity that removes cosmic string singularities and avoids conical singularities and closed timelike curves.

Findings

Elimination of conical singularities in cosmic string solutions

Absence of closed timelike curves in the modified spacetime

Existence of a minimal circle where curvature invariants vanish

Abstract

It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The space ends at a minimal circle where the curvature invariants vanish; but this circle cannot be reached in a finite proper time.