2025/07/14 by Abhishek Hegade K. R., R., Abhishek Hegade K., K. J. Kwon +7 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #Nuclear Theory (nucl-th) #Space Science and Extraterrestrial Life
paper · pdf · doi:10.48550/arxiv.2507.10693
openalex publication_date 2025/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.