General Relativistic Numerical Simulation
on
Coalescing Binary Neutron Stars
and
Gauge-Invariant Gravitational Wave Extraction
Mari Kawamura(1), Ken-ichi Oohara(2) and Takashi Nakamura(3)
(1)Graduate School of Science and Technology, Niigata University,Niigata, 950--2181
(2)Department of Physics, Niigata University, Niigata 950--2181, Japan
(3)Department of Physics, Kyoto University, Kyoto 606-8502, Japan
| We are developing 3 dimensional simulation codes for coalescing binary neutron stars. A code using the maximal slicing condition is obtained. To evaluate the gravitational radiation, we implemented a gauge-invariant wave extraction and compared the wave forms with the metric tensors at the wave zone. The energy spectrum of the waves was also evaluated to investigate the possibility that the excitation of the quasi-normal modes of the black hole, which may be formed after the merger of two stars, can be observed. |
PDF file
Figures
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Click here to get all the EPS files: eps-figs.tar.gz (213KB)
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 Fig.1Density \rho_n on the x-y plane. (movies) |
 Fig.2 Plots rh+ and rhx along z-axis as a function of t-r. |
 Fig.3Plots r^3 h+ and r^3 hx as a function of t. |
 Fig.4 Plots Wave forms rh+ and rhx along z-axis as a function of t-r. |
 Fig.5The comparison h shown in Fig.4 (blue lines) and h defined by Eqs.(6.9) and (6.10) (red lines). |
 Fig.6 The propagation of the gravitational waves. (movies) |
 Fig.7The luminosity dE/dt and total energy E emitted as gravitational waves up to t. |
 Fig.8Lapse function \alpha (solid lines) and density \rho. |
 Fig.9The energy spectrum of the gravitational waves. |
Movies
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den-xy.mpg (2.8MB) Density \rho_n on the x-y plane. |
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den-xyxz.mpg (4.7MB) Density \rho_n on the x-y and x-z plane. |
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gwe-xy.mpg (2.8MB) The propagation of the gravitational waves on the x-y plane. |
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gwe-xyxz.mpg (5.0MB) The propagation of the gravitational waves on the x-y and x-z plane. |