Motivation: A toplogically independent code that does not need previous knwledge about the location of the apparent horizon.

• Test of the mean curvature method for general shape with one black hole
  • Reformulate the Eulerian method in a Crank-Nicholson scheme
  • Test the method with a time symmetric single black hole case (see undregrad thesis) with the following initial curves
    • spherical centered
    • odd shape centered
    • odd shape non-centered
    • odd shape, non-centered completely to one side
• Test with two black holes
  • Test with two black hole Misner data and check against Mijan's code
  • test for bifurcation
  • test with odd shape initial data
• Check numerical convergence using Dr. Choptuik's thesis approach

Motivation: A stable apparent horizon

• Develop code using this method for ingoing and outgoing geodesics.

Motivation: Unique initial data as testing ground for new physics

• Make square black hole using high frequencies