K-field kinks in two-dimensional dilaton gravity

Fei-Yu Li; Xu-Dong Liu; Yuan Zhong

K-field kinks in two-dimensional dilaton gravity

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arxiv 2108.10166 v2 pith:XCUKMW7H submitted 2021-08-23 hep-th gr-qc

Yuan Zhong , Fei-Yu Li , Xu-Dong Liu This is my paper · ORCID

classification hep-thgr-qc

keywords cuscutondilatondiscussedgravitykinksmodelobtainedstability

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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.

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In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...

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