Constraining the p-mode--g-mode tidal instability with GW170817
Creators: name: The LIGO Scientific Collaboration
name: The Virgo Collaboration
name: Abbott, B. P.
name: Abbott, R.
name: Abbott, T. D.
name: Acernese, F.
name: Ackley, K.
name: Adams, C.
name: Adams, T.
name: Addesso, P.
name: Adhikari, R. X.
name: Adya, V. B.
name: Affeldt, C.
name: Agarwal, B.
name: Agathos, M.
name: Agatsuma, K.
name: Aggarwal, N.
name: Aguiar, O. D.
name: Aiello, L.
name: Ain, A.
name: Ajith, P.
name: Allen, B.
name: Allen, G.
name: Allocca, A.
name: Aloy, M. A.
name: Altin, P. A.
name: Amato, A.
name: Ananyeva, A.
name: Anderson, S. B.
name: Anderson, W. G.
name: Angelova, S. V.
name: Antier, S.
name: Appert, S.
name: Arai, K.
name: Araya, M. C.
name: Areeda, J. S.
name: Arène, M.
name: Arnaud, N.
name: Arun, K. G.
name: Ascenzi, S.
name: Ashton, G.
name: Ast, M.
name: Aston, S. M.
name: Astone, P.
name: Atallah, D. V.
name: Aubin, F.
name: Aufmuth, P.
name: Aulbert, C.
name: AultONeal, K.
name: Austin, C.
name: Avila-Alvarez, A.
name: Babak, S.
name: Bacon, P.
name: Badaracco, F.
name: Bader, M. K. M.
name: Bae, S.
name: Baker, P. T.
name: Baldaccini, F.
name: Ballardin, G.
name: Ballmer, S. W.
name: Banagiri, S.
name: Barayoga, J. C.
name: Barclay, S. E.
name: Barish, B. C.
name: Barker, D.
name: Barkett, K.
name: Barnum, S.
name: Barone, F.
name: Barr, B.
name: Barsotti, L.
name: Barsuglia, M.
name: Barta, D.
name: Bartlett, J.
name: Bartos, I.
name: Bassiri, R.
name: Basti, A.
name: Batch, J. C.
name: Bawaj, M.
name: Bayley, J. C.
name: Bazzan, M.
name: Bécsy, B.
name: Beer, C.
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name: Belahcene, I.
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Publisher: name: arXiv
Year: 2018
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: We analyze the impact of a proposed tidal instability coupling $p$-modes and $g$-modes within neutron stars on GW170817. This non-resonant 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 ($\ln B^{pg}_{!pg}$) 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 $\ln B^{pg}_{!pg} = 0.03^{+0.70}_{-0.58}$ (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 $\simeq 50\%$ probability of obtaining similar $\ln B^{pg}_{!pg}$ even when $p$-$g$ effects are absent. We find that the $p$-$g$ amplitude for 1.4 $M_\odot$ neutron stars is constrained to $\lesssim \text{few}\times10^{-7}$, with maxima a posteriori near $\sim 10^{-7}$ and $p$-$g$ saturation frequency $\sim 70\, \mathrm{Hz}$. 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 a $p$-$g$ amplitude $\lesssim 10^{-6}$ and $\lesssim 10^{3}$ modes saturating by wave breaking. Thus, the measured constraints only rule out extreme values of the $p$-$g$ parameters. They also imply that the instability dissipates $\lesssim 10^{51}\, \mathrm{ergs}$ over the entire inspiral, i.e., less than a few percent of the energy radiated as gravitational waves.
description: 7 pages, 2 figures