Asymptotically Friedmann self-similar scalar field solutions with potential

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dc.creatorKyo, Masanori
dc.creatorHarada, Tomohiro
dc.creatorMaeda, Hideki
dc.date2008-04-09
dc.date2008-06-16
dc.date.accessioned2026-07-07T11:49:43Z
dc.date.available2026-07-07T11:49:43Z
dc.descriptionWe investigate self-similar solutions which are asymptotic to the Friedmann universe at spatial infinity and contain a scalar field with potential. The potential is required to be exponential by self-similarity. It is found that there are two distinct one-parameter families of asymptotic solutions,one is asymptotic to the proper Friedmann universe, while the other is asymptotic to the quasi-Friedmann universe, i.e., the Friedmann universe with anomalous solid angle. The asymptotically proper Friedmann solution is possible only if the universe is accelerated or the potential is negative. If the potential is positive, the density perturbation in the asymptotically proper Friedmann solution rapidly falls off at spatial infinity, while the mass perturbation is compensated. In the asymptotically quasi-Friedmann solution, the density perturbation falls off only in proportion to the inverse square of the areal radius and the relative mass perturbation approaches a nonzero constant at spatial infinity. The present result shows that a necessary condition holds in order that a self-gravitating body grows self-similarly due to the constant accretion of quintessence in an accelerating universe.
dc.descriptionaccepted for publication in Physical Review D, minor correction, typos corrected
dc.identifierhttps://arxiv.org/abs/0804.1410
dc.identifierhttp://arxiv.org/abs/0804.1410
dc.identifierPhys.Rev.D77:124036,2008
dc.identifierdoi:10.1103/PhysRevD.77.124036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203335
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleAsymptotically Friedmann self-similar scalar field solutions with potential
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