Critical Phenomena Inside Global Monopoles

Details Critical Phenomena Inside Global Monopoles Critical Phenomena Inside Global Monopoles

1999-04-29

arxiv.org/abs/gr-qc/9904077v1

Phys.Rev.D60:061502,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 5 figures

Scientific paper

10.1103/PhysRevD.60.061502

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 $\Delta=3.44$, here a new DSS solution is found with period $\Delta=0.46$. 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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