Accurate simulations of the dynamical bar-mode instability in full general relativity

Luca Baiotti, Roberto De Pietri, Gian Mario Manca, and Luciano Rezzolla
Phys. Rev. D 75, 044023 – Published 23 February 2007

Abstract

We present accurate simulations of the dynamical bar-mode instability in full general relativity focusing 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 βc 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.

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  • Received 19 September 2006

DOI:https://doi.org/10.1103/PhysRevD.75.044023

©2007 American Physical Society

Authors & Affiliations

Luca Baiotti1, Roberto De Pietri2, Gian Mario Manca2, and Luciano Rezzolla1,3,4

  • 1Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany
  • 2Dipartimento di Fisica, Università di Parma and INFN, Parma, Italy
  • 3SISSA, International School for Advanced Studies and INFN, Trieste, Italy
  • 4Department of Physics, Louisiana State University, Baton Rouge, USA

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Issue

Vol. 75, Iss. 4 — 15 February 2007

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