Relativistic and Dynamical Love
General Relativity and Quantum Cosmology
2026-03-17 v2 High Energy Astrophysical Phenomena
Nuclear Theory
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.
Cite
@article{arxiv.2507.10693,
title = {Relativistic and Dynamical Love},
author = {Abhishek Hegade K. R. and K. J. Kwon and Tejaswi Venumadhav and Hang Yu and Nicolás Yunes},
journal= {arXiv preprint arXiv:2507.10693},
year = {2026}
}
Comments
7+10 pages, 1 figure, matches published version