Kink solutions in generalized 2D dilaton gravity
arXiv:2308.13786 · doi:10.1016/j.physletb.2024.138471
Abstract
We study static kink solutions in a generalized two-dimensional dilaton gravity model, where the kinetic term of the dilaton is generalized to be an arbitrary function of the canonical one , say , and the kink is generated by a canonical scalar matter field . It is found that for arbitrary , the background field equations have a simple first-order formalism, and the linear perturbation equation can always be written as a Schrödinger-like equation with factorizable Hamiltonian operator. After choosing appropriate and superpotential, we obtain a sine-Gordon type kink solution with pure AdS metric. The linear perturbation issue of this solution becomes an exactly solvable conformal quantum mechanics problem, if one of the model parameter takes a critical value.
arXiv comment7 pages, 2 figures
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