On Higher Dimensional Self-Similar Axion-Dilaton Solutions

TL;DR

This paper demonstrates the existence of higher-dimensional self-similar solutions in the Einstein-axion-dilaton system, expanding understanding of gravitational collapse with new solutions across multiple conjugacy classes in six and seven dimensions.

Contribution

It introduces new families of self-similar solutions in higher dimensions for all conjugacy classes, extending previous lower-dimensional results.

Findings

Existence of solutions in higher dimensions (6 and 7)

Identification of new solution families for all conjugacy classes

Solutions invariant under spacetime dilation and SL(2,R) transformations

Abstract

We show that solutions of the self-similar gravitational collapse in the Einstein-axion-dilaton system exist in higher dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2,R) transformations. We rely on the recent setup and use it for the three different conjugacy classes (elliptic, parabolic and hyperbolic) in higher dimensions. Lastly, we identify new families of physically distinguishable self-similar solutions for all three conjugacy classes in six and seven dimensions.