Self-similar collapse of a scalar field in dilaton gravity and critical behavior

We present new analytical self-similar solutions describing a collapse of a massless scalar field in scalar-tensor theories. The solutions exhibit a type of critical behavior. The black hole mass for the near critical evolution is analytically obtained for several scalar-tensor theories and the critical exponent is calculated. Within the framework of the analytical models we consider it is found that the black hole mass law for some scalar-tensor theories is of the form M-BH = f(p - p(cr))(p - p(cr))(gamma) which is slightly different from the general relativistic law M-BH = const(p - p(cr))(gamma). The explicit form of the function f depends on the particular scalar-tensor theory.