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.

8 pages, 4 figures. Version to appear in EPJC

References in corpus (6)

• Spectral Walls in Soliton Collisions
• The ${\varphi }^4$ model with the BPS preserving defect
• Radially symmetric scalar solitons
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• Quantum Effects of Solitons in the Self-Dual Impurity Model
• 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