K-field kinks in two-dimensional dilaton gravity
Yuan Zhong, Feiyu Li, Xu-Dong Liu
Abstract
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.
Topics & Concepts
SuperpotentialDilatonKinetic termFormalism (music)Field equationRewritingGravitationPhysicsClassical mechanicsKinetic energyEquations of motionMathematical physicsTheoretical physicsMathematicsComputer scienceArtProgramming languageMusicalVisual artsScalar fieldSupersymmetryCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Mathematical Physics Problems