[Submitted on 27 May 2025] (cross-list from astro-ph.HE)
Prospect of Constraining the EoS of Neutron Stars Using Post-Merger Signals
Soham Mitra🇮🇳 · Praveer Tiwari🇮🇳 · Archana Pai🇮🇳
Post-merger gravitational-wave emission from a binary neutron star merger carries crucial information about the equation of state (EoS) of matter at high temperatures. Current gravitational wave detectors have limited sensitivities at post-merger frequencies in the range [1.5, 4] kHz. Therefore, valuable inferences can only be made after combining information from multiple (BNS) events. Criswell et al. [Phys. Rev. D 107, 043021 (2023)] carries out an injection study to infer the radius posterior for a NS by combining the information from injected BNS events via the hierarchical Bayesian inference (HBI) formulation. This formulation utilizes empirical relations that connect the peak frequency of the post-merger remnant with the chirp mass of the system, and the EoS proxy parameter . In this work, we extend the HBI formulation to other EoS proxy parameters (i.e., the radius of (NS), , with masses 1.2, 1.4, and 1.8 ) and combine the four posteriors through the piecewise polytropic EoS model to obtain measurable constraints on the EoS of the NS. We show that the NS radii can be constrained to within 1 km ( 0.55 km) assuming uniform (astrophysical) prior on for injections in the A+ noise. We also study systematic biases in the analysis coming from the limitations of empirical relations.
- Subjects:
- High Energy Astrophysical Phenomena (astro-ph.HE); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th); Data Analysis, Statistics and Probability (physics.data-an)
- arXiv:
- 2505.21667 [pdf]