Exact convoluted solutions in higher-dimensional Einstein-Maxwell theory

TL;DR

This paper presents exact, regular solutions to higher-dimensional Einstein-Maxwell equations, including nonstationary cosmological solutions in de Sitter space, expanding the understanding of such models.

Contribution

It introduces two classes of exact convolution-based solutions in higher-dimensional Einstein-Maxwell theory, including nonstationary cosmological solutions with positive cosmological constant.

Findings

Solutions are regular everywhere with bolt structures.

Exact nonstationary solutions in de Sitter spacetime.

Solutions expand as patches in asymptotically de Sitter space.

Abstract

We construct two classes of exact solutions to six and higher dimensional Einstein-Maxwell theory in which the metric functions can be written as convolution-like integrals of two special functions. The solutions are regular everywhere and show a bolt structure on a single point in any dimensionality. Moreover, we find the exact nonstationary solutions to the Einstein-Maxwell theory with positive cosmological constant. We show that the cosmological solutions are expanding patches in asymptotically de Sitter spacetime.