String-Dust Distributions with the Kerr-NUT symmetry

TL;DR

This paper derives new solutions to Einstein's equations describing string dust and null radiation in axially symmetric spacetimes, generalizing Kerr and NUT solutions, including a radiating string-dust case related to Vaidya's solution.

Contribution

It provides the first known solutions for string dust and null radiation in axially symmetric metrics, extending classical solutions like Kerr, NUT, and Vaidya.

Findings

Derived string-dust generalizations of Kerr and NUT solutions

Obtained radiating string-dust solutions related to Vaidya's model

Explored the properties of these new solutions in axially symmetric spacetimes

Abstract

We attempt to solve the Einstein equations for string dust and null flowing radiation for the general axially symmetric metric, which we believe is being done for the first time. We obtain the string-dust and radiating generalizations of the Kerr and the NUT solutions. There also occurs an interesting case of radiating string-dust which arises from string-dust generalization of Vaidya's solution of a radiating star.