1. Fred Rasio Northwestern University
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