%0 Journal Article %T Quasi-Asimptotically Flat Spacetimes and Their ADM Mass %A Ulises Nucamendi %A Daniel Sudarsky %J Physics %D 1996 %I arXiv %R 10.1088/0264-9381/14/5/031 %X We define spacetimes that are asymptotically flat, except for a deficit solid angle $\alpha$, and present a definition of their ``ADM'' mass, which is finite for this class of spacetimes, and, in particular, coincides with the value of the parameter $M$ of the global monopole spacetime studied by Vilenkin and Barriola . Moreover, we show that the definition is coordinate independent, and explain why it can, in some cases, be negative. %U http://arxiv.org/abs/gr-qc/9611043v1