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 (40)

• An Alternative to Compactification
• Modulus Stabilization with Bulk Fields
• Modeling the fifth dimension with scalars and gravity
• Universal Aspects of Gravity Localized on Thick Branes
• Gravitational Stability and Renormalization-Group Flow
• Four-dimensional gravity on a thick domain wall
• Supergravity Domain Walls
• Fake Supergravity and Domain Wall Stability
• Bloch Brane
• General Properties of the Self-tuning Domain Wall Approach to the Cosmological Constant Problem
• Generalized Global Defect Solutions
• No Van Dam-Veltman-Zakharov Discontinuity in Ads Space
• Brane Structure from a Scalar Field in Warped Spacetime
• Hidden supersymmetry of domain walls and cosmologies
• Braneworld Models of Scalar Fields with Generalized Dynamics
• First-order formalism for bent brane
• Thick domain wall spacetimes with and without reflection symmetry
• First-order formalism and dark energy
• First-order framework and generalized global defect solutions
• Supergravity brane worlds and tachyon potentials
• Localizing gravity on exotic thick 3-branes
• k-defects as compactons
• On the fakeness of fake supergravity
• Scalar fields, bent branes, and RG flow
• From a Thick to a Thin Supergravity Domain Wall
• Doppelganger defects
• Naked singularities in dilatonic domain wall space-times
• Compactlike kinks and vortices in generalized models
• Twinlike Models in Scalar Field Theories
• Effective Supergravity for Supergravity Domain Walls
• Pseudo-Supersymmetry and the Domain-Wall/Cosmology Correspondence
• An algebraic construction of twin-like models
• N=4 "Fake" Supergravity
• Supersymmetric K field theories and defect structures
• De-Sitter and double asymmetric brane worlds
• Supersymmetric extensions of k-field models
• Twinlike models with identical linear fluctuation spectra
• New results on twinlike models
• Asymmetric D-braneworld
• Twinlike Models for Self-Dual Maxwell-Higgs Theories

Cited by in corpus (27)

• Kinematics and dynamics in a Bipartite-Finsler spacetime
• First-order formalism for flat branes in generalized N-field models
• Linearization of thick K-branes
• Study of models of the sine-Gordon type in flat and curved spacetime
• Cuscuton kinks and branes
• First-order formalism for twinlike models with several real scalar fields
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Kink-antikink collisions for twin models
• Differential configurational entropy and the gravitational collapse of a kink
• New Results on Compact Structures
• Non-perturbative procedure for stable $K$-brane
• $K$-field kinks: stability, exact solutions and new features
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Twinlike Models for Kinks, Vortices and Monopoles
• Kinks in higher derivative scalar field theory
• Deformed self-dual magnetic monopoles
• Analytical BPS Maxwell-Higgs vortices
• Radial vibrations of BPS skyrmions
• Nontopological self-dual Maxwell-Higgs vortices
• Singular Pöschl-Teller II potentials and gravitating kinks
• Generalized Born-Infeld-like models for kinks and branes
• Cosmological twinlike models with multi scalar fields
• Matching the linear spectra of twinlike defects
• Twinlike models for parametrized dark energy
• Scalar fields, localized structures and the Starobinsky model
• Flat and bent branes in Born-Infeld-like scalar field models
• Compact, long-range and vacuumless regimes controlled by scalar fields in two-dimensional flat and five-dimensional warped geometries