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Conformally Flat, Quasi-Circular Numerical Simulations of the Chirp from Binary Neutron-Star Merger GW170817


Affiliations
1 Center for Astrophysics, Department of Physics, University of Notre Dame Notre Dame, IN 46556, United States
 

The first detection of gravitational waves a binary neutron star merger GW170817 by the LIGO-Virgo Collaboration has provided fundamental new insights into the astrophysical site for r-process nucleosynthesis and on the nature of dense neutron-star matter. The detected gravitational wave signal depends upon the tidal distortion of the neutron stars as they approach merger. We report on relativistic numerical simulations of the approach to binary merger in the conformally flat, quasi-circular orbit approximation. We show that this event serves as a calibration to the quasi-circular approximation and a confirmation of the valitiy of the conformally flat approximation to the three-metric. We then examine how the detected chirp depends the adopted equation of state. This establishes a new efficient means to constrain the nuclear equation of state in binary neutron star mergers.

Keywords

Gravitational Waves, Nucleosynthesis, Polarizability.
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  • Abbott B, Abbott R, Abbott TD, et al. Observation of Gravitational Waves from a Binary Neutron Star Inspiral. LIGO Scientific and Virgo Collaboration. Phys Rev Lett. 2017;119:161101.

  • Abbott BP, Abbott R, Abbott TD, et al. Gravitational Waves and Gamma-Rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A. Virgo, Fermi-GBM, INTEGRAL, and LIGO Scientific Collaboration. Astrophys. 2017;848: L12.

  • Suh IS, Mathews GJ, Haywood JR, et al. Review of Conformally Flat Approximation for Binary Neutron Star Initial Conditions. Adv in Astr. 2017;612703:1601.01460.

  • Fattoyev FJ, Piekarewicz J, Horowitz CJ. Neutron Skins and Neutron Stars in the Multimessenger Era. Phys Rev Lett. 2018;120: 172702.

  • Abbott BP, Abbott R, Abbott TD, et al. Measurements of Neutron Star Radii and Equation of State. LIGO Scientific and Virgo Collaboration. Phys Rev Lett. 2018;121:161101.

  • Damour T, Soffel M, Xu C. General-relativistic celestial mechanics II. Translational equations of motion. Phys Rev 1992;45: 1017.

  • Flanagan EE, Hinderer T. Constraining neutron-star tidal Love numbers with gravitational-wave detectors. Phys Rev. 2008;77: 021502.

  • Lan NQ, Suh IS, Mathews GJ, et al. Analysis of the Conformally Flat Approximation for Binary Neutron Star Initial Conditions. Comm in Phys. 2017;25:299.

  • Wilson JR and Mathews GJ, Relativistic Numerical Hydrodynamics. Cam-bridge University Press, Cambridge, United Kingdom. 2003.

  • Mathews GJ, Wilson JR. Binary-induced Neutron Star Compression, Heating, and Collapse. Astrophys J. 1997;482:929.

  • Arnowitt R, Deser S, Misner CW. Republication of the dynamics of general relativity. Gen Rel Grav. 2008;40.

  • York JW, Jr .In Sources of Gravitational Radiation. L. L. Smarr, Ed; Cambridge University Press, Cambridge, UK. 1979;83.

  • Lattimer J, Swesty FD. A generalized equation of state for hot, dense matter. Nucl Phys A. 1991;535: 331-376.


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  • Conformally Flat, Quasi-Circular Numerical Simulations of the Chirp from Binary Neutron-Star Merger GW170817

Abstract Views: 199  |  PDF Views: 1

Authors

G. J. Mathews
Center for Astrophysics, Department of Physics, University of Notre Dame Notre Dame, IN 46556, United States
I. S. Suh
Center for Astrophysics, Department of Physics, University of Notre Dame Notre Dame, IN 46556, United States
N. Q. Lan
Center for Astrophysics, Department of Physics, University of Notre Dame Notre Dame, IN 46556, United States
A. Kedia
Center for Astrophysics, Department of Physics, University of Notre Dame Notre Dame, IN 46556, United States

Abstract


The first detection of gravitational waves a binary neutron star merger GW170817 by the LIGO-Virgo Collaboration has provided fundamental new insights into the astrophysical site for r-process nucleosynthesis and on the nature of dense neutron-star matter. The detected gravitational wave signal depends upon the tidal distortion of the neutron stars as they approach merger. We report on relativistic numerical simulations of the approach to binary merger in the conformally flat, quasi-circular orbit approximation. We show that this event serves as a calibration to the quasi-circular approximation and a confirmation of the valitiy of the conformally flat approximation to the three-metric. We then examine how the detected chirp depends the adopted equation of state. This establishes a new efficient means to constrain the nuclear equation of state in binary neutron star mergers.

Keywords


Gravitational Waves, Nucleosynthesis, Polarizability.

References