In this work, kinks with non-canonical kinetic energy terms are studied in a type of two-dimensional dilaton gravity model. The linear stability issue is generally discussed for arbitrary static solutions, and the stability criteria are obtained. As an explicit example, a model with cuscuton term is studied. After rewriting the equations of motion into simpler first-order formalism and choosing a polynomial superpotential, an exact self-gravitating kink solution is obtained. The impacts of the cuscuton term are discussed.

中文翻译：

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二维膨胀子引力中的 K 场扭结

在这项工作中，在一种二维膨胀引力模型中研究了具有非规范动能项的扭结。一般讨论任意静态解的线性稳定性问题，得到稳定性判据。作为一个明确的例子，研究了一个带有 cuscuton 项的模型。将运动方程改写为更简单的一阶形式并选择多项式超势后，得到精确的自引力扭结解。讨论了cuscuton 术语的影响。