2024/07/02 by Abhishek Hegade K. R., R., Abhishek Hegade K., Justin L. Ripley +3 · 5 citations
Earth and Planetary Sciences · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Meteorological Phenomena and Simulations #Nuclear Theory (nucl-th) #Ocean Waves and Remote Sensing
paper · pdf · doi:10.48550/arxiv.2407.02584
openalex publication_date 2024/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dissipative tidal interactions can be used to probe the out-of-equilibrium physics of neutron stars using gravitational wave observations. In this paper, we present the first post-Newtonian (PN) corrections to the orbital dynamics of a binary system containing objects whose tidal interactions have a dissipative contribution. We derive the 1PN-accurate equations of motion in the center-of-mass frame and a generalized energy-balance law that is valid for dissipative tidal interactions. We show how mass and energy loss due to the absorption of orbital energy change the orbital dynamics and derive the next-to-leading order correction to the gravitational wave phase of a binary system in a quasi-circular orbit containing initially non-spinning components. We then use this waveform model to constrain, for the first time, the individual dissipative tidal deformabilities of each of the binary components that generated the GW170817 event using real data. We find that the GW170817 data requires Ξ1 \lesssim 1121 and Ξ2 \lesssim 1692 at 90% confidence, where Ξ1,2 are the individual tidal deformabilities of the primary and secondary binary components that produced the GW170817 event.