Initial Conditions for Head-on Collision of Two Non-Spinning Black Holes

As in the rest of this example, we choose a simple case, that of two black holes, neither of which has spin or boost (angular or linear momentum.)  For the moving puncture version of BSSN, the Brill-Lindquist initial data method is used.

In this example, since this is a head-on collision of two non-spinning black holes, our initial conformal parameter:

will be calculated (again, using the Brill-Lindquist method) as:

                                                                                                                                

Where:

is the mass associated with each black hole, 

is the initial location of each black hole 

is the location of  each point


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