Numerical simulation of oscillatons: Extracting the radiating tail

Philippe Grandclément, G. Fodor, P. Forgács

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Spherically symmetric, time-periodic oscillatons-solutions of the Einstein-Klein-Gordon system (a massive scalar field coupled to gravity) with a spatially localized core-are investigated by very precise numerical techniques based on spectral methods. In particular, the amplitude of their standing-wave tail is determined. It is found that the amplitude of the oscillating tail is very small, but nonvanishing for the range of frequencies considered. It follows that exactly time-periodic oscillatons are not truly localized, and they can be pictured loosely as consisting of a well (exponentially) localized nonsingular core and an oscillating tail making the total mass infinite. Finite mass physical oscillatons with a well localized core-solutions of the Cauchy-problem with suitable initial conditions-are only approximately time-periodic. They are continuously losing their mass because the scalar field radiates to infinity. Their core and radiative tail is well approximated by that of time-periodic oscillatons. Moreover the mass loss rate of physical oscillatons is estimated from the numerical data and a semiempirical formula is deduced. The numerical results are in agreement with those obtained analytically in the limit of small amplitude time-periodic oscillatons.

Original languageEnglish
Article number065037
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number6
DOIs
Publication statusPublished - Sep 30 2011

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simulation
scalars
Cauchy problem
spectral methods
standing waves
infinity
gravitation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Numerical simulation of oscillatons : Extracting the radiating tail. / Grandclément, Philippe; Fodor, G.; Forgács, P.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 6, 065037, 30.09.2011.

Research output: Contribution to journalArticle

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