Abstract
We examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of critical behavior. Depending on the scalar charge parameter as compared to a critical value , the incoming scalar wave collapses either to a globally naked central singularity if (weak field) or to a scalar-hairy black hole if (strong field), both having finite asymptotic masses. Near the critical evolution, the black hole mass follows a product-logarithmic scaling law: with and . The solution admits no self-similarity and satisfies the null and the strong energy conditions.
- Received 31 October 2014
DOI:https://doi.org/10.1103/PhysRevD.91.044046
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