Article ; Online: Constraining the p-Mode-g-Mode Tidal Instability with GW170817.
2019 Volume 122, Issue 6, Page(s) 61104
Abstract: We analyze the impact of a proposed tidal instability coupling p modes and g modes within neutron ... we compute the Bayes factor (lnB_{!pg}^{pg}) comparing our p-g model to a standard one. We find ... that the observed signal is consistent with waveform models that neglect p-g effects, with lnB_{!pg}^{pg}=0.03_{-0 ...
| Abstract | We analyze the impact of a proposed tidal instability coupling p modes and g modes within neutron stars on GW170817. This nonresonant instability transfers energy from the orbit of the binary to internal modes of the stars, accelerating the gravitational-wave driven inspiral. We model the impact of this instability on the phasing of the gravitational wave signal using three parameters per star: an overall amplitude, a saturation frequency, and a spectral index. Incorporating these additional parameters, we compute the Bayes factor (lnB_{!pg}^{pg}) comparing our p-g model to a standard one. We find that the observed signal is consistent with waveform models that neglect p-g effects, with lnB_{!pg}^{pg}=0.03_{-0.58}^{+0.70} (maximum a posteriori and 90% credible region). By injecting simulated signals that do not include p-g effects and recovering them with the p-g model, we show that there is a ≃50% probability of obtaining similar lnB_{!pg}^{pg} even when p-g effects are absent. We find that the p-g amplitude for 1.4 M_{⊙} neutron stars is constrained to less than a few tenths of the theoretical maximum, with maxima a posteriori near one-tenth this maximum and p-g saturation frequency ∼70 Hz. This suggests that there are less than a few hundred excited modes, assuming they all saturate by wave breaking. For comparison, theoretical upper bounds suggest ≲10^{3} modes saturate by wave breaking. Thus, the measured constraints only rule out extreme values of the p-g parameters. They also imply that the instability dissipates ≲10^{51} erg over the entire inspiral, i.e., less than a few percent of the energy radiated as gravitational waves. |
|---|---|
| Language | English |
| Publishing date | 2019-03-01 |
| Publishing country | United States |
| Document type | Journal Article |
| ZDB-ID | 208853-8 |
| ISSN | 1079-7114 ; 0031-9007 |
| ISSN (online) | 1079-7114 |
| ISSN | 0031-9007 |
| DOI | 10.1103/PhysRevLett.122.061104 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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