On some new types of membrane solutions

TL;DR

This paper introduces new exact membrane solutions in higher-dimensional Minkowski space, some of which involve topology changes and others that prevent finite-time singularities, advancing the understanding of membrane dynamics.

Contribution

It presents novel classes of exact membrane solutions in M+2 dimensions, including solutions with topology changes and singularity avoidance.

Findings

Solutions describe non-trivial topology changes

Some solutions explicitly avoid finite-time singularities

Advances understanding of membrane dynamics in higher dimensions

Abstract

New classes of exact M(em)brane solutions in M+2 dimensional Minkowski space are presented (some describing non-trivial topology changes, while others explicitly avoid finite-time singularity formation)