Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory

TL;DR

This paper constructs exact, non-stationary solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory using Atiyah-Hitchin space, revealing bolt structures and monotonic c-function behavior in asymptotically de Sitter spacetimes.

Contribution

It introduces new non-stationary solutions based on Atiyah-Hitchin space in five dimensions, expanding understanding of cosmological solutions in higher-dimensional gravity theories.

Findings

Solutions approach Gibbons-Perry-Sorkin monopoles asymptotically

Presence of bolt structure near Atiyah-Hitchin bolt

Monotonic increase of c-function over time

Abstract

We construct non-stationary exact solutions to five dimensional Einstein-Maxwell-Chern-Simons theory with positive cosmological constant. The solutions are based on four-dimensional Atiyah-Hitchin space. In asymptotic regions, the solutions approach to Gibbons-Perry-Sorkin monopole solutions. On the other hand, near the four-dimensional bolt of Atiyah-Hitchin space, our solutions show a bolt structure in five dimensions. The c-function for the solutions shows monotonic increase in time, in agreement with the general expected behaviour of c-function in asymptotically dS spacetimes.