Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals

By T. Damour, A. Nagar, L. Villain. 2012

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The gravitational wave signal from a binary neutron star inspiral contains information on the nuclear equation of state. This information is contained in a combination of the tidal polarizability parameters of the two neutron stars and is clearest in the late inspiral, just before merger. We use the recently defined tidal extension of the effective one-body formalism to construct a controlled analytical description of the frequency-domain phasing of neutron star inspirals up to merger. Exploiting this analytical description we find that the tidal polarizability parameters of neutron stars can be measured by the advanced LIGO-Virgo detector network from gravitational wave signals having a reasonable signal-to-noise ratio of $\rho=16$. This measurability result seems to hold for all the nuclear equations of state leading to a maximum mass larger than $1.97M_\odot$. We also propose a promising new way of extracting information on the nuclear equation of state from a coherent analysis of an ensemble of gravitational wave observations of separate binary merger events.

Subfields: Astronomy and Astrophysics, Geophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/b5409650e55a237dbf4fca29c85db4b36d67612f

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Citations in the corpus

GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations (2017, background): “…evolution of the gravitational wave (GW) signal during the inspiral (Flanagan & Hinderer 2008; Damour & Nagar 2010; Hinderer et al. 2010, 2016; Damour et al. 2012; Del Pozzo et al. 2013; Read et al. 2013; Favata 2014; Wade et al. 2014; Bernuzzi et al. 2015b; Lackey & Wade 2015; Hotokezaka et…”
GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run (2020, methodology): “For the BNS system GW190425 [32], we use the following: IMRPhenomD_NRTidal and IMRPhenomPv2_NRTidal [213,214], which are based on the BBH models IMRPhenomD and IMRPhenomPv2, respectively, and incorporate NR and tidal EOB-tuned contributions from tidal interaction as well as equation-of-state-depende”
Unequal mass binary neutron star mergers and multimessenger signals (2016, unknown): “where = + M m m g g g 1 2 ( ) ( ), (see equation (36) of [57]).”
GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs (2018, background): “[101] Thibault Damour, Alessandro Nagar, and Loic Villain, “Measurability of the tidal polarizability of neutron stars in lateinspiral gravitational-wave signals,” Phys.”