High-Order Multipole and Binary Love Number Universal Relations

Daniel A. Godzieba; David Radice

doi:10.3390/universe7100368

paper

High-Order Multipole and Binary Love Number Universal Relations

arXiv:2109.01159 · doi:10.3390/universe7100368

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, $Λ_{l}$ , for several high-order multipoles ( $l = 5, 6, 7, 8$ ). We confirm the existence of a universal relation between the radius of the $1.4 M_{⊙}$ NS, $R_{1.4}$ 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 $M$ , $R_{M}$ . We find that there is an optimal value of $M$ for every $M$ such that the uncertainty in the estimate of $R_{M}$ 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.

arXiv comment14 pages, 6 figures, 3 tables Replacement of older version of manuscript. A few small errors were found in the previous version of the manuscript that do not affect the scientific findings of the paper. They are corrected in this version

High-Order Multipole and Binary Love Number Universal Relations

Abstract

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