M-brane singularity formation

TL;DR

This paper derives self-similar string solutions that describe singularity formation on M-branes, extending to point-like singularities and radially symmetric cases, providing insights into the behavior near singularities.

Contribution

It introduces a novel class of self-similar solutions for M-brane singularities, expanding understanding of their formation and structure.

Findings

Self-similar solutions describe singularity formation.

Solutions extend to point-like and radially symmetric singularities.

Provides a mathematical framework for analyzing M-brane singularities.

Abstract

We derive self-similar string solutions in a graph representation, near the point of singularity formation, which can be shown to extend to point-like singularities on M-branes, as well as to the radially symmetric case.