2021/08/31 by Yuan Zhong, Feiyu Li, Fei-Yu Li +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Dilaton #Equations of motion #Field equation #Formalism (music) #Gravitation #Kinetic energy #Kinetic term #Mathematical physics #Mathematics #Physics #Rewriting #Superpotential #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2021.136716
8 pages, 1 figure, accepted for publication by Phys. Letts. B
openalex publication_date 2021/10/08 · arxiv created 2021/10/13 · arxiv updated 2021/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.