Gravitating Scalars and Critical Collapse in the Large Limit
arXiv:1807.10283
Abstract
We develop the large limit of general relativity for spherically symmetric scalar fields in both asymptotically flat and asymptotically anti-de Sitter spaces. The leading order equations in the expansion can be solved analytically, providing a large description of oscillating soliton stars. When the amplitude reaches a critical threshold, certain divergences occur which we interpret as signal of horizon formation. We estimate the size of the resulting black hole and obtain, with respect to that definition, a Choptuik scaling exponent for our family of solutions.