ROTATIONAL INSTABILITIES AND CENTRIFUGAL HANGUP

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One interesting class of gravitational radiation sources includes rapidly rotating astrophysical objects that encounter dynamical instabilities. We have carried out a set of simulations of rotationally induced instabilities in differentially rotating polytropes. An n=1.5 polytrope with the Maclaurin rotation law will encounter the m=2 bar instability at T/{vert_bar}W{vert_bar} {ge} 0.27. Our results indicate that the remnant of this in-stability is a persistent bar-like structure that emits a long-lived gravitational radiation signal. Furthermore, dynamical instability is shown to occur in n=3.33 polytropes with the j-constant rotation law at T/{vert_bar}W{vert_bar} {ge} 0:14. In this case, the dominant mode of instability is m=1. ... continued below

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NEW, K. & CENTRELLA, J. December 1, 2000.

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One interesting class of gravitational radiation sources includes rapidly rotating astrophysical objects that encounter dynamical instabilities. We have carried out a set of simulations of rotationally induced instabilities in differentially rotating polytropes. An n=1.5 polytrope with the Maclaurin rotation law will encounter the m=2 bar instability at T/{vert_bar}W{vert_bar} {ge} 0.27. Our results indicate that the remnant of this in-stability is a persistent bar-like structure that emits a long-lived gravitational radiation signal. Furthermore, dynamical instability is shown to occur in n=3.33 polytropes with the j-constant rotation law at T/{vert_bar}W{vert_bar} {ge} 0:14. In this case, the dominant mode of instability is m=1. Such instability may allow a centrifugally-hung core to begin collapsing to neutron star densities on a dynamical timescale. If it occurs in a supermassive star, it may produce gravitational radiation detectable by LISA.

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668 Kilobytes pages

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  • Report No.: LA-UR-00-5924
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 769262
  • Archival Resource Key: ark:/67531/metadc717913

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  • December 1, 2000

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 23, 2016, 3:34 p.m.

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NEW, K. & CENTRELLA, J. ROTATIONAL INSTABILITIES AND CENTRIFUGAL HANGUP, article, December 1, 2000; New Mexico. (digital.library.unt.edu/ark:/67531/metadc717913/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.