On the inverse problem of finding cosmic strings and other topological defects

TL;DR

This paper explores how advanced microlocal mathematical techniques can be applied to detect cosmic strings and topological defects in the universe by analyzing cosmic microwave background data, offering a rigorous theoretical framework.

Contribution

It introduces a novel application of microlocal methods to inverse problems in cosmology, specifically targeting the detection of cosmic strings and topological defects.

Findings

Microlocal methods can theoretically identify singularities in the universe's metric.

The approach provides a rigorous mathematical foundation for detecting cosmic defects.

Potential for improved cosmological measurements using these techniques.

Abstract

We consider how microlocal methods developed for tomographic problems can be used to detect singularities of the Lorentzian metric of the Universe using measurements of the Cosmic Microwave Background radiation. The physical model we study is mathematically rigorous but highly idealized.