The Texas, Syracuse T2 approach

Here we describe one such ADM method T2 that Texas and Syracuse are working on.

The evolution equations that the T2 solves are as follows:

where is the 3-metric,

is the extrinsic curvature, is the covariant derivative computational with ,

is the lapse function, is the shift vector

and is the Lie derivative along the vector field .

is given by the following equation:

Below is an image taken from NCSA(P. Anninos et al). Here a single black hole spacetime is distorted by placing a gravitational wave in its vicinity.

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Scott Klasky
Wed Feb 28 10:19:33 EST 1996