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.