Year: 2022
Type: article
Abstract: We study a family of solutions of Einstein-nonlinear sigma models with ${S}^{2}$ and $SU(2)\ensuremath{\sim}{S}^{3}$ target manifolds. In the ${S}^{2}$ case, the solutions are smooth everywhere, are free of conical singularities, and approach asymptotically the metric of a cosmic string, with a mass per length that is proportional to the absolute value of the winding number from topological spheres onto the target ${S}^{2}$. This gives an interesting example of a relation between a mass and a topological charge. The case with target $SU(2)$ generalizes the stationary solution found in Canfora et al.Eur. Phys. J. C 81, 55 (2021) to parallel waves with a nonplanar wave front $\mathcal{W}$. We prove that these $\mathcal{W}$-fronted parallel waves are subquadratic in the classification in Flores et al.Classical Quantum Gravity 20, 2275 (2003) and thus are causally well behaved. These spacetimes have a nonvanishing baryon current and their geometry has many striking features.
Authors: Béatrice Bonga, Gustavo Dotti
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4213046539