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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
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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.
Forward citations
Cited by 3 Pith papers
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In 2D MMSS dilaton gravity, self-gravitating φ⁴ kink-antikink collisions show resonance windows shifted to higher velocities and narrowed by stronger gravity, with no singularity formation in the runs performed.
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First Law for Nonsingular Black Holes in 2D Dilaton Gravity
For 2D nonsingular dilaton black holes with A=f+c, the first law holds with energy E=-c/2 once the asymptotic time translation is properly normalized.
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