3D GR Simulations of Coalescing Binary Neutron Stars

Ken-ichi Oohara (Niigata University)
presented at YKIS99 (June 28 - July 2, 1999)
  1. Title
  2. Introduction  (1)   (2)
  3. Numerical Relativity in Japan
    1. Post Newtonian EQS2
    2. Post Newtonian (wave form)
    3. PN (spin)
    4. Computers
  4. Basic Equations
    1. Initial value equations
    2. Initial value equations (2)
    3. Momentum constraint equations
    4. Momentum constraint equations (2)
    5. Momentum constraint equations (3)
    6. Hamiltonian constraint equations
    7. Hamiltonian constraint equations (2)
    8. Hydrodynamics equations
    9. Hydrodynamics equations (2)
    10. Hydrodynamics equations (3)
    11. Energy equation
    12. Energy equation (2)
    13. Evolution equation of the metric
    14. Conformal transformation
    15. Evolution of extrinsic curvature
    16. Evolution of 3-metric
    17. Evolution of conformal factor
  5. Coordinate conditions
    1. Psudo-minimal distortion condition
    2. Conformal slicing
  6. Gravitational waves
  7. Gravitational waves (2)
  8. Numerical methods
    1. Solving GR hydrodynamics
      1. Advection phase
      2. Non-advection phase
      3. Second-order in time
      4. Second-order in time (2)
    2. Evolution of the metric
      1. CIP method
      2. CIP method (2)
      3. CIP method (3)
      4. CIP method (4)
      5. Non-advection phase
  9. Elliptic PDE's
  10. Boundary condition
  11. Numerical results
  12. Numerical results (2)
  13. Initial data
  14. Initial data (2)
  15. Corotation case
    1. Density
      1. xy         Movie
      2. xy-xz         Movie
      3. xy-yz         Movie
      4. xy (snapshot)
    2. Gravitational waves
      1. xy        
      2. Quadrupole wave pattern
      3. xy-xz        
      4. xy-yz         Movie
      5. Density-GW         Movie
    3. Wave form
    4. Energy of GW
  16. Irrotation case
    1. Density
      1. xy
      2. xy-xz
      3. xy-yz
      4. xy (snapshot)
    2. Gravitational waves
      1. xy
      2. xy-xz
    3. Wave form
    4. Energy of GW
  17. Numerical instability
  18. Numerical instability (2)
  19. Summary
  20. Summary (2)
  21. Summary (3)
  22. Sumamry (4)