Conformal Time Slicing Condition in Three Dimensional Numerical Relativity

Details Conformal Time Slicing Condition in Three Dimensional Numerical Relativity Conformal Time Slicing Condition in Three Dimensional Numerical Relativity

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992pthph..88..317s&link_type=abstract

Progress of Theoretical Physics, Vol. 88, No. 2, pp. 317-327.

Physics

7

Scientific paper

We propose a new time slicing condition which may be useful to estimate gravitational waves in three dimensional (3D) numerical relativity. In this time slice, the lapse function is a function of the conformal factor of the metric in the minimal distortion gauge condition or the isothermal gauge condition. Spherical symmetric dust collapse is investigated using this time slice. It is found that similar to the polar slicing the exterior vacuum region is nearly static, which suggests that this slice is convenient to estimate gravitational waves in two and three dimensional numerical relativity. It is also found that the slice has abilities to find the apparent horizon and to avoid the singularity. We call this new slice conformal slice.

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