Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
High Energy Physics - Theory
2021-04-14 v2 General Relativity and Quantum Cosmology
Abstract
Self-gravitating kink solutions of a two-dimensional dilaton gravity are revisited in this work. Analytical kink solutions are derived from a concise superpotential formalism of the dynamical equations. A general analysis on the linear stability is conducted for an arbitrary static solution of the model. After gauge fixing, a Schr\"odinger-like equation with factorizable Hamiltonian operator is obtained, which ensures the linear stability of the solution.
Cite
@article{arxiv.2101.10928,
title = {Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability},
author = {Yuan Zhong},
journal= {arXiv preprint arXiv:2101.10928},
year = {2021}
}
Comments
17 pages, 4 figures