Twinlike Models for Kinks, Vortices and Monopoles

Abstract

This work deals with twinlike models that support topological structures such as kinks, vortices and monopoles. We investigate the equations of motion and develop the first order framework to show how to build distinct models with the same solution and energy density, as required to make them twinlike models. We also investigate how the stability under small fluctuations behaves and introduce the conditions to get the same stability on general grounds. In particular, we study models that support kinks, vortices and monopoles in one, two, and three spatial dimensions, respectively.

8 pages. New version, to appear in PRD

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Cited by in corpus (14)

• Absorption by black hole remnants in metric-affine gravity
• Magnetic monopoles with internal structure
• First Order Formalism for Generalized Vortices
• Cuscuton kinks and branes
• Small and hollow magnetic monopoles
• Planar ringlike vortices
• Stability of kinklike structures in generalized models
• Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
• Bimagnetic Monopoles
• Kinks in generalized scalar field models and their scattering properties
• Scalar fields, localized structures and the Starobinsky model
• New twinlike models for scalar fields
• Vortices in vacuumless systems
• Domain walls without a potential