Critical Collapse of Skyrmions

Details Critical Collapse of Skyrmions Critical Collapse of Skyrmions

1998-01-06

arxiv.org/abs/gr-qc/9801012v2

Phys.Rev.D58:041501,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 5 Postscript figures, RevTex, typos corrected

Scientific paper

10.1103/PhysRevD.58.041501

We study first order phase transitions in the gravitational collapse of spherically symmetric skyrmions. Static sphaleron solutions are shown to play the role of critical solutions separating black-hole spacetimes from no-black-hole spacetimes. In particular, we find a new type of first order phase transition where subcritical data do not disperse but evolve towards a static regular stable solution. We also demonstrate explicitly that the near-critical solutions depart from the intermediate asymptotic regime along the unstable manifold of the critical solution.

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