Ultra-relativistic oscillon collisions

Abstract

In this short note we investigate the ultra-relativistic collisions of small amplitude oscillons in 1+1 dimensions. Using the amplitude of the oscillons and the inverse relativistic boost factor ${\gamma }^{-1}$ as the perturbation variables, we analytically calculate the leading order spatial and temporal phase shifts, and the change in the amplitude of the oscillons after the collisions. At leading order, we find that only the temporal phase shift receives a nonzero contribution, and that the collision is elastic. This work is also the first application of the general kinematic framework for understanding ultra-relativistic collisions (arXiv:1308.0606) to intrinsically time-dependent solitons.

12 pages, 3 figures, version 2, added one reference and matching the version to appear on PRD

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• Unequal-mass boson-star binaries: Initial data and merger dynamics
• The Gravitational Afterglow of Boson Stars
• Black hole formation in relativistic Oscillaton collisions
• Non-topological solitons and quasi-solitons
• A review on radiation of oscillons and oscillatons