Hidden symmetry between rotational tidal Love numbers of spinning neutron stars

Abstract

The coupling between the angular momentum of a compact object and an external tidal field gives rise to the "rotational" tidal Love numbers, which affect the tidal deformability of a spinning self-gravitating body and enter the gravitational waveform of a binary inspiral at high post-Newtonian order. We provide numerical evidence for a surprising "hidden" symmetry among the rotational tidal Love numbers with opposite parities, which are associated to perturbations belonging to separate sectors. This symmetry, whose existence had been suggested on the basis of a Lagrangian description of the tidal interaction in a binary system, holds independently of the equation of state of the star.

13 pages, 2 figures; minor changes

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• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• Rotating Love: The dynamical tides of spinning Newtonian stars
• I-C-Q relations for rapidly rotating stable hybrid stars
• Impact of Higher-order Tidal Corrections on the Measurement Accuracy of Neutron Star Tidal Deformability
• Equation-of-State Independent Relations in Rapidly Rotating Hybrid Stars
• Impact and detectability of spin-tidal couplings in neutron star inspirals