Abstract
Using a data set of approximately 2 million phenomenological equations of state consistent with observational constraints, we construct new equation-of-state-insensitive universal relations that exist between the multipolar tidal deformability parameters of neutron stars, Λl, for several high-order multipoles (l=5,6,7,8), and we consider finite-size effects of these high-order multipoles in waveform modeling. We also confirm the existence of a universal relation between the radius of the 1.4M⊙ NS, R1.4 and the reduced tidal parameter of the binary, Λ˜, and the chirp mass. We extend this relation to a large number of chirp masses and to the radii of isolated NSs of different mass M, RM. We find that there is an optimal value of M for every M such that the uncertainty in the estimate of RM is minimized when using the relation. We discuss the utility and implications of these relations for the upcoming LIGO O4 run and third-generation detectors.
Highlights
Due to the constraints imposed by general relativity and causality, there exist quasiuniversal relations between various bulk physical properties of neutron stars (NSs) that are mostly insensitive to the actual equation of state (EOS) of nuclear matter [1,2,3,4,5,6,7,8,9,10,11,12,13,14]
We supplement the tool set of gravitational wave (GW) analysis and waveform modelling by presenting entirely new fits to several universal relations between high-multipole-order dimensionless gravitoelectric tidal deformabilities Λl and to the universal relation for binary NS (BNS) between the radius of the 1.4M NS, R1.4, and the reduced tidal deformability Λ. We compute these utilizing a data set of nearly two-million phenomenological EOS sampled from across a broad parameter space using an MCMC algorithm
We extend the library of fits by looking at the
Summary
Due to the constraints imposed by general relativity and causality, there exist quasiuniversal relations between various bulk physical properties of neutron stars (NSs) that are mostly insensitive to the actual equation of state (EOS) of nuclear matter [1,2,3,4,5,6,7,8,9,10,11,12,13,14]. The immediate utility of this relation is the ability to produce an EOS-agnostic estimate of R1.4 from just tidal parameter measurements This is an alternative to the more involved method of using the universal relation for binaries between the symmetric and antisymmetric combinations of Λ2,1 and Λ2,2 [14,30] combined with the relation for individual NSs between Λ2 and the compactness C [14,31] (a relation which intuitively follows from the definition of Λl in Equation (1)).
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