标题： 带有渐近平坦度规的引力孤子 显示英文标题

标题： Gravitating kinks with asymptotically flat metrics

摘要： 在本工作中，我们考虑一个二维（2D）标量引力模型，其中标量动能项$\mathcal{X}$通过一个额外的导数耦合项$\alpha\mathcal{X}^2$被修改。 在具有规范标量物质场的情况下，该模型的场方程具有简单的第一阶形式，由此可以构造出精确的静态孤子解。 这些解的新颖之处在于对应的度规可以渐近平坦而不是渐近反德西特。 还研究了标量物质场的线性稳定性和局域化。 发现这些解对小的线性扰动是稳定的，并且通过引入标量-孤子相互作用可以实现标量物质场的局域化。 显示英文摘要

摘要： In this work, we consider a two-dimensional (2D) dilaton gravity model where the dilaton kinetic term $\mathcal{X}$ is modified by an additional derivative coupling term $\alpha\mathcal{X}^2$. In the case with a canonical scalar matter field, the field equations of this model have a simple first-order formalism, from which exact static kink solutions can be constructed. The novelty of these solutions is that the corresponding metric can be asymptotically flat rather than asymptotically anti de Sitter. The linear stability and the localization of scalar matter fields are also studied. It was found that the solutions are stable against small linear perturbations, and the localization of scalar matter fields can be realized by introducing scalar-kink interactions.