Negative energy condition and black holes on the brane

We propose that For non-localizable energy distribution the relevant energy condition is determined by the gravitational field energy which is negativ e for positive non-gravitational energy. That is negativity of the non-loca lized energy is the "positive" energy condition. This would have direct app lication and relevance for a black hole on the brane which would be sitting in a trace free stresses induced by the Weyl curvature of the bulk. (C) 20 00 Elsevier Science B.V. All rights reserved.