Stability of Fluctating Baby-Skyrme Brane
Emir Syahreza Fadhilla, Bobby Eka Gunara, Agus Suroso, Ardian Nata Atmaja

Institut Teknologi Bandung-
Pusat Riset Fisika Kuantum Badan Riset dan Inovasi Nasional

Abstract

This work studies the stability of fluctuating Baby-Skyrme brane as a model for early-time cosmology. The dynamical system consists of two dynamical quantities \((\phi,H)\) with two differential equations and one constraint. The solutions can be realized as a family of curves on a surface in \(\mathbb{R}^3\). We found that there exist stable solutions provided that the physical parameters \((\alpha,\sigma,k)\) satisfy certain conditions that are deduced from the linear stability conditions near the critical points.

Keywords: Cosmology, Skyrme Model, Stability

Topic: Minisymposia Dynamical Systems