2019
DOI: 10.1103/physrevd.100.043014
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Dynamical stability of quasitoroidal differentially rotating neutron stars

Abstract: We investigate the dynamical stability of relativistic, differentially rotating, quasi-toroidal models of neutron stars through hydrodynamical simulations in full general relativity. We find that all quasi-toroidal configurations studied in this work are dynamically unstable against the growth of non-axisymmetric modes. Both one-arm and bar mode instabilities grow during their evolution. We find that very high rest mass configurations collapse to form black holes. Our calculations suggest that configurations w… Show more

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Cited by 20 publications
(10 citation statements)
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“…The largest dephasing between the BHBH and NSNS curves is ≤ 3.5 rads within [0.6, 1.0] KHz. If we extrapolate our results to infinite resolution (see [46,[49][50][51] and our Supplemental Material) we conclude that a BHBH binary will have maximum ∼ 5 rad difference with respect to an NSNS of compaction C = 0.336 in the aforementioned bandwidth. This result is in accordance with other studies [46,52] where typical NSNS binaries are employed and phase differences 20 rad were recorded depending on the EoS, and the NSNS binary properties.…”
Section: As Expected the Nsns Binary Merges Earlier Than Thementioning
confidence: 83%
“…The largest dephasing between the BHBH and NSNS curves is ≤ 3.5 rads within [0.6, 1.0] KHz. If we extrapolate our results to infinite resolution (see [46,[49][50][51] and our Supplemental Material) we conclude that a BHBH binary will have maximum ∼ 5 rad difference with respect to an NSNS of compaction C = 0.336 in the aforementioned bandwidth. This result is in accordance with other studies [46,52] where typical NSNS binaries are employed and phase differences 20 rad were recorded depending on the EoS, and the NSNS binary properties.…”
Section: As Expected the Nsns Binary Merges Earlier Than Thementioning
confidence: 83%
“…Examples of such configurations are reported in Figure 9, where we show meridional energy density contours for a spheroidal and a quasi-toroidal solution. In this paper, we focus primarily on spheroidal models because quasi-toroidal configurations are likely to be unstable [78].…”
Section: Differential Rotationmentioning
confidence: 99%
“…We find that all models witĥ A −1 = 0.4, 0.6, 0.8 are toroidal (i.e., the maximum density is not at the center), and the larger the differential rotation, the more toroidal shapes we were able to compute. Note that according to recent studies [34], extreme toroidal configurations are dynamically unstable. In the T /W panels, we draw with a horizontal dashed-dot line the T /W = 0.25 benchmark, which in many cases provides a crude criterion for the onset of dynamical instability to nonaxisymmetric (bar) modes [35,36].…”
Section: Resultsmentioning
confidence: 76%