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arXiv · 2101.10928

Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability

Yuan Zhong
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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.

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Yuan Zhong. 2021-01-26. Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability. https://doi.org/10.1007/jhep04(2021)118

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