Impurity-doped stable domain walls in spherically symmetric spacetimes

Abstract

In this work, radially symmetric kink-like solutions in the presence of impurities are investigated for both flat and curved $D+1$ spacetimes, with geometry generated by a rotationally invariant background metric. We have examined the constraints placed upon the model by Derrick's theorem, and found out the Bogomol'nyi bound and equations of the symmetric restriction to this theory. Impurity-doped versions of a ${\varphi }^4$ model in two dimensions and a model with logarithmic potential in a Schwarzschild background have been explicitly worked out. The resulting configurations have been compared with those found in the homogeneous version of the theory, so that the effect of impurities in the form of solutions may be better appreciated. We have also generalized to higher dimensions some of the results that had been presented in the recent literature. These results relate to the possibility of BPS-preserving impurities, which we have found to still exist in the spacetimes considered in this work. We also investigate ways in which these results may be extended in a curved background.

arXiv comment8 pages, 4 figures. Version to appear in EPJC

References in corpus (20)

• New Global Defect Structures
• Spectral Walls in Soliton Collisions
• Vortices and Impurities
• The ${\varphi }^4$ model with the BPS preserving defect
• Magnetic Impurity Inspired Abelian Higgs Vortices
• The BPS property and its breaking in 1+1 dimensions
• Spectral walls in multifield kink dynamics
• Radially symmetric scalar solitons
• Supersymmetric Defect Models and Mirror Symmetry
• Vortices and magnetic impurities
• Maxwell-Higgs vortices with internal structure
• Multilayered Vortices
• Fermionic impurities in Chern-Simons-matter theories
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
• Quantum Effects of Solitons in the Self-Dual Impurity Model
• Impurity-like solutions in vortex systems coupled to a neutral field
• Magnetic Impurities, Integrable Vortices and the Toda Equation
• Real scalar field kink(-antikink)s and their perturbation spectra in a closed universe
• Impurity-doped scalar fields in arbitrary dimensions

Cited by in corpus (6)

• Two-field models in the presence of impurities
• Scalar fields with impurities in arbitrary dimensions: first-order framework and exact solutions
• Generalized scalar field models in the presence of impurities
• Geometrically constrained multi-kink configurations in generalized impurity-doped field theories
• Compact structures in impurity-doped vacuumless systems
• Half-BPS Impurity Backgrounds and Supersymmetry