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Quasi-Asimptotically Flat Spacetimes and Their ADM Mass

Ulises Nucamendi·Daniel Sudarsky
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Abstract

We define spacetimes that are asymptotically flat, except for a deficit solid angle $α$, 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.

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Ulises Nucamendi, Daniel Sudarsky. 1996-11-14. Quasi-Asimptotically Flat Spacetimes and Their ADM Mass. https://doi.org/10.1088/0264-9381%2F14%2F5%2F031

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