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Critical Phenomena in Nonlinear Sigma Models
Steven L. Liebling, Eric W. Hirschmann, James Isenberg
We consider solutions to the nonlinear sigma model (wave maps) with target space S^3 and base space 3+1 Minkowski space, and we find critical behavior separating singular solutions…
Some Remarks on Gravitational Global Monopoles
Dieter Maison, Steven L. Liebling
Using mainly analytical arguments, we derive the exact relation for the maximal vacuum value of the Higgs field for static gravitational global monopoles. For…
Static Gravitational Global Monopoles
Steven L. Liebling
Static solutions in spherical symmetry are found for gravitating global monopoles. Regular solutions lacking a horizon are found for , where is the scale of sym…
Critical Phenomena Inside Global Monopoles
Steven L. Liebling
The gravitational collapse of a triplet scalar field is examined assuming a hedgehog ansatz for the scalar field. Whereas the seminal work by Choptuik with a single, strictly spher…