Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
arXiv:2101.10928 · doi:10.1007/JHEP04(2021)118
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 Schrödinger-like equation with factorizable Hamiltonian operator is obtained, which ensures the linear stability of the solution.
arXiv comment17 pages, 4 figures
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