Accurate simulations of the dynamical bar-mode instability in full General Relativity

dc.creatorBaiotti, Luca
dc.creatorDe Pietri, Roberto
dc.creatorManca, Gian Mario
dc.creatorRezzolla, Luciano
dc.date2006-09-18
dc.date2007-05-13
dc.date.accessioned2026-07-07T10:23:38Z
dc.date.available2026-07-07T10:23:38Z
dc.descriptionWe present accurate simulations of the dynamical bar-mode instability in full General Relativity focussing on two aspects which have not been investigated in detail in the past. Namely, on the persistence of the bar deformation once the instability has reached its saturation and on the precise determination of the threshold for the onset of the instability in terms of the parameter $β={T}/{|W|}$. We find that generic nonlinear mode-coupling effects appear during the development of the instability and these can severely limit the persistence of the bar deformation and eventually suppress the instability. In addition, we observe the dynamics of the instability to be strongly influenced by the value $β$ and on its separation from the critical value $β_c$ marking the onset of the instability. We discuss the impact these results have on the detection of gravitational waves from this process and provide evidence that the classical perturbative analysis of the bar-mode instability for Newtonian and incompressible Maclaurin spheroids remains qualitatively valid and accurate also in full General Relativity.
dc.descriptionRevTeX4, 23 pages, 19 figures. Version in print
dc.identifierhttps://arxiv.org/abs/astro-ph/0609473
dc.identifierhttp://arxiv.org/abs/astro-ph/0609473
dc.identifierPhys.Rev.D75:044023,2007
dc.identifierdoi:10.1103/PhysRevD.75.044023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175902
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAccurate simulations of the dynamical bar-mode instability in full General Relativity
dc.typetext

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