Cuscuton kinks and branes

Abstract

In this paper, we study a peculiar model for the scalar field. We add the cuscuton term in a standard model and investigate how this inclusion modifies the usual behavior of kinks. We find the first order equations and calculate the energy density and the total energy of the system. Also, we investigate the linear stability of the model, which is governed by a Sturm-Liouville eigenvalue equation that can be transformed in an equation of the Shcrödinger type. The model is also investigated in the braneworld scenario, where a first order formalism is also obtained and the linear stability is investigated.

arXiv comment21 pages, 9 figures; content added; to appear in NPB

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• First-order thermodynamics of Horndeski gravity
• Cuscuton gravity as a classically stable limiting curvature theory
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• K-field kinks in two-dimensional dilaton gravity
• Peculiar thermal states in the first-order thermodynamics of gravity
• Stability of kinklike structures in generalized models
• Topological structures in a non-canonical perturbative dynamics of a cuscuton-like model
• Internal structure of cuscuton Bloch brane
• Models of modified $F(R,T)$ and cuscuton braneworld
• Generalized McVittie geometry in Horndeski gravity with matter
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• Domain walls without a potential
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