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

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

Zhong, Yuan

The journal of high energy physics, 04/2021, Volume: 2021, Issue: 4

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A bstract 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.

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Zhong, Yuan

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