# Parametrices for the light ray transform on Minkowski spacetime

## TL;DR

This paper develops a mathematical framework to invert light ray transforms in Minkowski spacetime, aiding the detection of cosmic strings by recovering specific singularities of tensor fields.

## Contribution

It constructs a relative left parametrix for the light ray transform on tensors, enabling the recovery of space-like and some light-like singularities.

## Key findings

- Successfully constructs a parametrix for the transform
- Enables partial recovery of tensor singularities
- Provides tools for inverse problems related to cosmic strings

## Abstract

We consider restricted light ray transforms arising from an inverse problem of finding cosmic strings. We construct a relative left parametrix for the transform on two tensors, which recovers the space-like and some light-like singularities of the two tensor.