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Critical Phenomena Inside Global Monopoles

Steven L. Liebling
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Abstract

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 spherically symmetric scalar field found a discretely self-similar (DSS) solution at criticality with echoing period $Δ=3.44$, here a new DSS solution is found with period $Δ=0.46$. This new critical solution is also observed in the presence of a symmetry breaking potential as well as within a global monopole. The triplet scalar field model contains Choptuik's original model in a certain region of parameter space, and hence his original DSS solution is also a solution. However, the choice of a hedgehog ansatz appears to exclude the original DSS.

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Steven L. Liebling. 1999-04-29. Critical Phenomena Inside Global Monopoles. https://doi.org/10.1103/physrevd.60.061502

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