2025/03/05 by Aldo Vera, Vera, Aldo
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2503.03872
openalex publication_date 2025/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The self-gravitating skyrmion is an exact solution of the Einstein SU(2)-Skyrme model describing a topological soliton with baryon number B=1, living in a 4-dimensional space-time in the presence of a cosmological constant. Here we show that, using the maximal embedding Ansatz of SU(2) into SU(N) in the Euler angles parametrization, this solution can be generalized to include arbitrary values of the flavor number and, consequently, allowing higher values of the topological charge. Also, we show that higher-order corrections in the 't Hooft expansion can be considered while still preserving the analytical nature of the solutions. Finally we will show that from the gravitational solutions it is possible to construct skyrmions in flat space-time at a finite volume.