# Kerr-NUT-de Sitter as an Inhomogeneous Non-Singular Bouncing Cosmology

## TL;DR

This paper presents exact inhomogeneous, non-singular bounce solutions in general relativity with a positive cosmological constant and electromagnetic fields, avoiding exotic matter and singularities, and applicable to models of inflation and black hole interiors.

## Contribution

It introduces new inhomogeneous bounce solutions in Einstein's gravity with electromagnetic fields and NUT charge, avoiding singularities without exotic matter.

## Key findings

- Solutions are spatially inhomogeneous with multiple bounces.
- The models are geodesically complete and can describe inflationary phases.
- NUT charge ensures regularity without singularities or closed timelike curves.

## Abstract

We present exact non-singular bounce solutions of general relativity in the presence of a positive cosmological constant and an electromagnetic field, without any exotic matter. The solutions are distinguished by being spatially inhomogeneous in one direction, while they can also contain non-trivial electromagnetic field lines. The inhomogeneity may be substantial, for instance, there can be one bounce in one region of the universe and two bounces elsewhere. Since the bounces are followed by a phase of accelerated expansion, the metrics described here also permit the study of (geodesically complete) models of inflation with inhomogeneous initial conditions. Our solutions admit two Killing vectors and may be re-interpreted as the pathology-free interior regions of Kerr-de Sitter black holes with non-trivial NUT charge. Remarkably enough, within this cosmological context, the NUT parameter does not introduce any string singularity nor closed timelike curves but renders the geometry everywhere regular, eliminating the big bang singularity by means of a bounce.