Compact shell solitons in K field theories

Abstract

Some models providing shell-shaped static solutions with compact support (compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding exact solutions are calculated analytically. These solutions turn out to be topological solitons, and may be classified as maps $S^3\to S^3$ and suspended Hopf maps, respectively. The Lagrangian of these models is given by a scalar field with a non-standard kinetic term (K field) coupled to a pure Skyrme term restricted to $S^2$, rised to the appropriate power to avoid the Derrick scaling argument. Further, the existence of infinitely many exact shell solitons is explained using the generalized integrability approach. Finally, similar models allowing for non-topological compactons of the ball type in 3+1 dimensions are briefly discussed.

10 pages, latex, 2 figures, change in title and introduction. Discussion section, 2 figures and references added

References in corpus (17)

• Global topological k-defects
• Braneworld Models of Scalar Fields with Generalized Dynamics
• First-order framework and generalized global defect solutions
• k-defects as compactons
• Compact Q-balls and Q-shells in a scalar electrodynamics
• Charged Boson Stars and Black Holes
• K fields, compactons, and thick branes
• Compact gauge K vortices
• Compact self-gravitating solutions of quartic (K) fields in brane cosmology
• Integrable theories and loop spaces: fundamentals, applications and new developments
• Compact oscillons in the signum-Gordon model
• Pullback of the Volume Form, Integrable Models in Higher Dimensions and Exotic Textures
• A study on relativistic lagrangian field theories with non-topological soliton solutions
• A pure Skyrme instanton
• Spinning Hopf solitons on S^3 x R
• Perturbations of the signum-Gordon model
• Travelling wave solutions of BBM-like equations by means of factorization

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• Compact boson stars in K field theories
• Swaying oscillons in the signum-Gordon model
• Compact Structures in Standard Field Theory