A Chiellini-integrable scalar field with Higgs-type potential collapses asymptotically with a perfect fluid, never forming a singularity in finite time and permitting multiple apparent horizons or none.
A similar reduction can be found in the theory of solitons and non-linear wave equation
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Gravitational Collapse of a Chiellini Integrable Scalar Field
A Chiellini-integrable scalar field with Higgs-type potential collapses asymptotically with a perfect fluid, never forming a singularity in finite time and permitting multiple apparent horizons or none.