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Tidal Resonance in Binary Neutron Star Inspirals: A High-Precision Study in Numerical Relativity
Hao-Jui Kuan1, Kenta Kiuchi1,2, Masaru Shibata1,2
1Max Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Potsdam, Germany.
Physical Review Letters
|October 19, 2025
Summary
This study reveals how tidal resonance in spinning neutron stars affects their spin and gravitational waves during mergers. Nonlinear resonance significantly impacts stellar spin and waveform phase shifts.
Area of Science:
- Astrophysics
- General Relativity
- Nuclear Physics
Background:
- Neutron star mergers are key events for understanding extreme physics.
- Tidal interactions and resonances play a crucial role in inspiral dynamics.
Purpose of the Study:
- To investigate the tidal resonance of the fundamental (f) mode in spinning neutron stars.
- To trace the excitation and saturation of the f-mode resonance using numerical relativity.
Main Methods:
- Performed long-term, fully relativistic simulations of merging neutron stars.
- Analyzed the nonlinear resonance phenomena and its impact on stellar spin and orbital dynamics.
Main Results:
- Extended resonance window of the f mode due to self-interaction and nonlinear effects.
- Observed coherent dissipation of orbital motion due to resonance and gravitational waves.
- Quantified significant variations in stellar spin (≳6.3% linear, ∼33% nonlinear).
- Detected a phase shift (≲40 rad) in gravitational waveforms due to energy/angular momentum transfer.
Conclusions:
- Tidal resonance significantly influences neutron star spin and merger dynamics.
- The f-mode resonance plays a vital role in the energy and angular momentum balance during inspiral.
- Numerical relativity simulations provide crucial insights into these complex phenomena.
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