Data:  Finding 2 Apparent Horizons From Single Initial Surface

            Level Set Flow Method

 
 
 

Conformally Flat Metric in Isotropic Coordinates, psi = 1 + M1/2*r1 + M2/2*r2

 
 
Following 6 slides depict the intial surface flowing to the marginally trapped surface solution.

Holes at (1,0,0) and (-1,0,0)

Initial Surface                                                                           Breakage Indicated

 
 
 
First attempt at locating first hole.                                         First atempt at locating second hole.
 
 
 
Second and final attempt, first hole located O(10^-2).          Second and final attempt, second hole located O(10^-2).

 
 
 
 
 

Holes at (0.58,0.58,0.58) and (-0.58,-0.58,-0.58)