Twinlike models for kinks and compactons in flat and warped spacetime

Abstract

This work deals with the presence of twinlike models in scalar field theories. We show how to build distinct scalar field theories having the same extended solution, with the same energy density and the very same linear stability. Here, however, we start from a given but generalized scalar field theory, and we construct the corresponding twin model, which also engenders generalized dynamics. We investigate how the twinlike models arise in flat and in curved spacetime. In the curved spacetime, we consider a braneword model with the warp factor controlling the spacetime geometry with a single extra dimension of infinite extent. In particular, we study linear stability in the flat and curved spacetime, and in the case of curved spacetime, in both the gravity and the scalar field sectors, for the two braneworld models.

Latex, 9 pages; to appear in PRD

References in corpus (9)

• Generalized Global Defect Solutions
• Hidden supersymmetry of domain walls and cosmologies
• Braneworld Models of Scalar Fields with Generalized Dynamics
• First-order formalism for bent brane
• k-defects as compactons
• Scalar fields, bent branes, and RG flow
• Doppelganger defects
• Compactlike kinks and vortices in generalized models
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence

Cited by in corpus (1)

• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario