Inverse Structure Problem for Neutron-Star Binaries

Abstract

Gravitational wave detectors in the LIGO/Virgo frequency band are able to measure the individual masses and the composite tidal deformabilities of neutron-star binary systems. This paper demonstrates that high accuracy measurements of these quantities from an ensemble of binary systems can in principle be used to determine the high density neutron-star equation of state exactly. This analysis assumes that all neutron stars have the same thermodynamically stable equation of state, but does not use simplifying approximations for the composite tidal deformability or make additional assumptions about the high density equation of state.

6 pages, 4 figures; v2 updated to version accepted for publication in Phys. Rev. D

References in corpus (6)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Spectral Representations of Neutron-Star Equations of State
• Causal Representations of Neutron-Star Equations of State

Cited by in corpus (9)

• Neutron star tidal deformability and equation of state constraints
• Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
• Nonparametric Inference of Neutron Star Composition, Equation of State, and Maximum Mass with GW170817
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Constraining the neutron star equation of state using multi-band independent measurements of radii and tidal deformabilities
• The Inverse Problem for Hawking Radiation
• On the Inverse Spectrum Problem of Neutron Stars
• Tidal deformations of compact objects and gravitational wave emission
• Constraints on the Neutron Star Equation of State from GW170817