MG12 - Talk detail
 

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Abstract

Almost periodic localized states in a dilaton model

Extremely long-living spatially localized oscillating states can be numerically observed in a theory where a massive real scalar field is coupled to a massless dilaton field. These objects are closely related both to flat background oscillons and to general relativistic oscillatons. A small-amplitude expansion is applied to describe the core region, and the scaling properties are shown to be the same as those for oscillatons. However, unlike the general relativistic case, there is no unstable branch for high amplitudes in the dilaton theory. The nonperturbatively small energy loss rate is calculated by complex extension of the Fourier mode equations and applying Borel summation.

Energy loss rate of oscillatons

According to numerical simulations, general relativistic massive real scalar fields can form extremely long living oscillating localized objects, called oscillating soliton stars or oscillatons. We present a small-amplitude expansion to describe the core region of these configurations. To leading order we obtain the Schrodinger-Newton equations. However, the small-amplitude expansion is only an asymptotic one, and consequently misses a nonperturbatively small oscillating tail which is responsible for a tiny energy loss of oscillatons, making them non-exactly periodic. The energy loss rate is calculated by complex extension of the Fourier mode equations and applying Borel summation.

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