New explicit spike solution -- non-local component of the generalized Mixmaster attractor

TL;DR

This paper introduces a new explicit spike solution derived from vacuum Bianchi type II solutions, supporting the idea that spikes are integral to the generalized Mixmaster attractor in cosmological models.

Contribution

It presents a novel explicit spike solution obtained via a solution-generating transformation, linking spikes to the generalized Mixmaster attractor.

Findings

Spike solutions can be generated from Bianchi type II solutions.

Spikes are conjectured to be part of the generalized Mixmaster attractor.

The method provides a new tool for analyzing cosmological singularities.

Abstract

By applying a standard solution-generating transformation to an arbitrary vacuum Bianchi type II solution, one generates a new solution with spikes commonly observed in numerical simulations. It is conjectured that the spike solution is part of the generalized Mixmaster attractor.