Cosmic Shells
Y. Hosotani, T. Nakajima (Osaka University), R. G. Daghigh, J., I. Kapusta (University of Minnesota)
TL;DR
This paper numerically demonstrates the existence of smooth, gravitationally bound scalar field shell solutions in asymptotically de Sitter space, arising from potentials with two local minima, with mirror solutions in the Penrose diagram.
Contribution
It provides the first numerical construction of scalar field shell solutions in a de Sitter background with detailed analysis of their properties.
Findings
Shell solutions exist when scalar potential has two minima.
Solutions are smooth and free of singularities.
Mirror solutions appear in the Penrose diagram.
Abstract
When a potential for a scalar field has two local minima there arise spherical shell-type solutions of the classical field equations due to gravitational attraction. We establish such solutions numerically in a space which is asymptotically de Sitter. It generically arises when the energy scale characterizing the scalar field potential is much less than the Planck scale. It is shown that the mirror image of the shell appears in the other half of the Penrose diagram. The configuration is smooth everywhere with no physical singularity.
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