The universe out of a breathing bubble
Eduardo I. Guendelman (Ben Gurion U), Nobuyuki Sakai (Yamagata U)

TL;DR
This paper introduces a model of oscillating false vacuum bubbles with mixed energy components, exploring their stability, possible evolution into child universes or absorption of the original universe, and effects of finite-thickness corrections.
Contribution
It presents the first stable oscillating bubble solutions with mixed energy components and analyzes their potential cosmic evolution and stability.
Findings
Discovered stable oscillating solutions called 'breathing bubbles'
Showed these bubbles can evolve into child universes or absorb the original universe
Discussed the impact of finite-thickness corrections on the model
Abstract
We consider the model of a false vacuum bubble with a thin wall where the surface energy density is composed of two different components, "domain-wall" type and "dust" type, with opposite signs. We find stably oscillating solutions, which we call "breathing bubbles". By decay to a lower mass state, such a breathing bubble could become either i) a child universe or ii) a bubble that "eats up" the original universe, depending on the sign of the surface energy of the "domain-wall" component. We also discuss the effect of the finite-thickness corrections to the thin-wall approximation and possible origins of the energy contents of our model.
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