NEW NO-SCALAR-HAIR THEOREM FOR BLACK-HOLES

A new no-hair theorem is formulated which rules out a very large class of nonminimally coupled finite scalar dressing of an asymptotically f lat, static, and spherically symmetric black hole. The proof is very s imple and based on a covariant method for generating solutions for non minimally coupled scalar fields starting from the minimally coupled ca se. Such a method generalizes the Bekenstein method for conformal coup ling and other recent ones. We also discuss the role of the finiteness assumption for the scalar field. (C) 1996 American Institute of Physi cs.