Quasi-universal relations in the context of future neutron star detections
Physical Review D(2024)
Abstract
The equation of state dependence of neutron star's astrophysical features
modeling is key to our understanding of dense matter. However, there exists a
series of almost equation-of-state independent relations reported in the
literature, called quasi-universal relations, that are used to determine
neutron star radii and moments of inertia from X-ray and gravitational wave
signals. Using sets of equations of state constrained by multi-messenger
astronomy measurements and nuclear-physics theory, we discuss quasi-universal
relations in the context of future gravitational-wave detectors Cosmic Explorer
and Einstein Telescope, and X-ray detector STROBE-X. We focus on relations that
involve the moment of inertia I, the tidal deformability Λ and the
compactness C: C(Λ), I(Λ) and I(C). The quasi-universal
fits and their associated errors are constructed with three different
microphysics approaches which include state of the art nuclear physics theory
and astrophysical constraints. Gravitational-wave and X-ray signals are
simulated with the sensitivity of the next generation of detectors. Equation of
state inference on those simulated signals is performed to assess if
quasi-universal relations will offer a better precision on the extraction of
neutron star's macroscopic parameters than equation of state dependent
relations. We show that detections with the 3rd generation of gravitational
wave detectors and the X-ray detector STROBE-X will be sensitive to the fit
error marginalization technique. We also find that the sensitivity of those
detectors will be sufficient that using full equation of state distributions
will offer better precision on extracted parameters than quasi-universal
relations.We also note that nuclear physics theory offers a more pronounced
equation of state invariance of quasi-universal relations than current
astrophysical constraints.
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