D. Bernstein et al., NUMERICALLY GENERATED AXISYMMETRICAL BLACK-HOLE SPACETIMES - NUMERICAL-METHODS AND CODE TESTS, Physical review. D. Particles and fields, 50(8), 1994, pp. 5000-5024
We develop a flexible computer code to study axisymmetric black hole s
pacetimes. The code is currently set up to evolve the fully nonlinear
Einstein equations in azimuthal and equatorial plane symmetry. The ini
tial data for this code generally consists of a combination of one bla
ck hole and an arbitrary amplitude, time symmetric gravitational wave.
We present a discussion of the mathematical framework for the problem
, various coordinate and time slice choices, and a battery of code tes
ts.