Radially symmetric scalar solitons

Abstract

A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomol'nyi equations for a real scalar field in a fixed spacetime background. This class of effective potentials generalizes those found previously by Bazeia, Menezes, and Menezes [Phys.Rev.Lett. 91 (2003) 241601] for radially symmetric defects in a flat spacetime. Use is made of the "on-shell method" introduced by Atmaja and Ramadhan [Phys.Rev.D 90 (2014) 10, 105009] of reducing the second order equation of motion to a first order one, along with a constraint equation. This method and class of potentials admits radially symmetric, stable solutions for four dimensional static, radially symmetric spacetimes. Stability against radial fluctuations is established with a modified version of Derrick's theorem, along with demonstrating that the radial stress vanishes. Several examples of scalar field configurations are given.

20 pages, 4 figures

References in corpus (5)

• On Bogomol'nyi Equations of Classical Solutions
• The First-Order Euler-Lagrange equations and some of their uses
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• Electrically charged localized structures
• First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model

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• Geometrically constrained multifield models with BNRT solutions
• Impurity-doped scalar fields in arbitrary dimensions
• Three-dimensional vortex dipole solitons in self-gravitating systems
• Novel way to construct spatially localized finite energy structures
• Electrically charged multi-field configurations
• Charged Lifshitz black holes from general covariance breaking
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
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• Generalized scalar field models in the presence of impurities
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• Self-dual compact gauged baby skyrmions in a continuous medium
• Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence