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arXiv · 2507.10693

Relativistic and Dynamical Love

Abhishek Hegade K. R.·K. J. Kwon·Tejaswi Venumadhav·Hang Yu·Nicolás Yunes
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Abstract

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical tidal response can be expanded in a complete set of modes. We further prove that the mode amplitudes satisfy an effective, forced harmonic oscillator equation, which generalizes the overlap-integral formulation of Newtonian gravity. Our relativistic treatment of dynamical tides will avoid systematic biases in future gravitational-wave parameter estimation.

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Abhishek Hegade K. R., K. J. Kwon, Tejaswi Venumadhav, Hang Yu, Nicolás Yunes. 2025-07-14. Relativistic and Dynamical Love. https://arxiv.org/abs/2507.10693

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