Critical exponents and stability at the black hole threshold for a complex scalar field.

This paper continues a study on Choptuik scaling in gravitational collapse of a massless complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution, and calculate the critical exponent for black hole mass, \ensuremath{\gamma}\ensuremath{\approxeq}0.387 111\ifmmode\pm\else\textpm\fi{}0.000 003. We also show that this critical solution is unstable via a growing oscillatory mode.