期刊
PHYSICAL REVIEW D
卷 95, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.95.065032
关键词
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资金
- Fondecyt [1160137, 1121031, 1130423, 1140155, 1141073, 3140123, 3160121]
- CONACyT [175993, 178346]
- Chilean Government through the Centers of Excellence Base Financing Program of Conicyt
Time-dependent analytic solutions of the Einstein-Skyrme system-gravitating Skyrmions-with topological charge are analyzed in detail. In particular, the question of whether these Skyrmions reach a spherically symmetric configuration for t -> +infinity is discussed. It is shown that there is a static, spherically symmetric solution described by the Ermakov-Pinney system, which is fully integrable by algebraic methods. For A > 0, this spherically symmetric solution is found to be in a neutral equilibrium under small deformations, in the sense that under a small squashing it would neither blow up nor disappear after a long time, but it would remain finite forever (plastic deformation). Thus, in a sense, the coupling with Einstein gravity spontaneously breaks the spherical symmetry of the solution. However, in spite of the lack of isotropy, for t -> infinity (and A > 0), the spacetime is locally flat and the anisotropy of the Skyrmion only reflects the squashing of spacetime.
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