From Kinks to Compactons

Abstract

This work deals with the presence of localized structures in relativistic systems described by a single real scalar field in two-dimensional spacetime. We concentrate on kinks and compactons in models with standard kinematics, and we develop a procedure that help us to smoothly go from kinks to compactons in the suggested scenario. We also show how the procedure works in the braneworld scenario, for flat brane in the five-dimensional spacetime with a single extra dimension of infinite extent. The brane unveils a hybrid profile when the kink becomes a compacton, behaving as a thick or thin brane, depending on the extra dimension being inside or outside a compact space.

7 pages, 7 figures; new version, to appear in PLB

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Cited by in corpus (53)

• Thick brane models in generalized theories of gravity
• Kinklike structures in models of the Dirac-Born-Infeld type
• Compact Q-balls
• Magnetic monopoles with internal structure
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• First Order Formalism for Generalized Vortices
• Cuscuton kinks and branes
• Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
• Models for asymmetric hybrid brane
• Exotic Final States in the ${\phi }^8$ Multi-Kink Collisions
• Differential configurational entropy and the gravitational collapse of a kink
• Fermionic bound states in distinct kinklike backgrounds
• Gravity localization on hybrid branes
• Compact Vortices
• How to build a compact brane
• Compact Structures in Standard Field Theory
• Braneworlds in $f(Q)$ gravity
• Compact Chern-Simons vortices
• Compact Lumps
• Kinks and branes in models with hyperbolic interactions
• Symmetric and asymmetric thick brane structures
• Ringlike vortices in a logarithmic generalized Maxwell theory
• Semi-compactness and multiple oscillating pulses in kink scattering
• Hybrid Bloch Brane
• Scattering of compactlike structures
• Corrections to Newton's law of gravitation in the context of codimension-1 warped thick braneworlds
• New braneworld models in the presence of auxiliary fields
• Multidimensional Discrete Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Compact-like vortices in isotropic curved spacetime
• New models for asymmetric kinks and branes
• A Note on Quantum Compactons
• Generalized scalar field models with the same energy density and linear stability
• Quasi-compact vortices
• High Temperature Effects on Compactlike Structures
• Braneworlds in bumblebee gravity
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• Braneworlds in Warped Einsteinian Cubic Gravity
• Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Scalar fields, localized structures and the Starobinsky model
• On the asymmetric non-canonical braneworld in five dimensions
• Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity
• Corrections to Newton's law of gravitation - application to hybrid Bloch brane
• Hybrid branes from split kinks
• Quest for eternal oscillons
• Kink-antikink collisions in hyper-massive models
• Flat and bent branes in Born-Infeld-like scalar field models
• Compact structures in impurity-doped vacuumless systems
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• Remarks on sine-Gordon kink--fermion system: localized modes and scattering
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