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Measuring the Neutron Star Equation of State with Gravitational Wave Detectors

Measuring the Neutron Star Equation of State with Gravitational Wave Detectors. Fred Rasio Northwestern University. NS-NS Binary Mergers. Well-studied for 15 years with 3D hydro calculations Newtonian + nuclear physics Post-Newtonian Recent full GR attempts Main uncertainties NS EOS

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Measuring the Neutron Star Equation of State with Gravitational Wave Detectors

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  1. Measuring the Neutron Star Equation of State with Gravitational Wave Detectors Fred Rasio Northwestern University

  2. NS-NS Binary Mergers • Well-studied for 15 years with 3D hydro calculations • Newtonian + nuclear physics • Post-Newtonian • Recent full GR attempts • Main uncertainties • NS EOS • Initial spins • Good agreement between different numerical approaches • Qualitative outcome: • NS for stiff EOS • BH for soft EOS Faber, Rasio, & Manor 2001

  3. Post-Newtonian SPH Calculations Faber & Rasio 2002

  4. Compare to full GR… Shibata & Uryu 2002

  5. Movie: NS-NS Binary Merger Visualization by J. Faber & D. Roberts (Northwestern)

  6. GW Signal from NS-NS Merger

  7. GW Energy Spectrum from NS-NS Merger plunge bar ring down Faber & Rasio 2003

  8. Dependence on EOS and spins… Faber & Rasio 2002

  9. Full GR treatment near the ISCO: • Highly accurate, full GR calculations of quasi-equilibrium NS-NS binary sequences (Gourgoulhon et al.) • Semi-analytic derivation of the GW energy spectrum • See Faber, Grandclément, Rasio, & Taniguchi 2002 PRL

  10. Full GR SPH Treatment • Faber, Grandclément & Rasio 2004, PRD submitted • First fully Lagrangian (gridless) 3D GR hydro code • Relativistic SPH treatment of fluid • Spectral methods used to solve nonlinear elliptic field equations in CF approximation of GR (Gourgoulhon et al.) • PN treatment of radiation reaction • Consistent treatments of quasi-equilibrium inspiral and hydrodynamic merger

  11. GW Energy Spectrum

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