Quasi-Asimptotically Flat Spacetimes and Their ADM Mass

Details Quasi-Asimptotically Flat Spacetimes and Their ADM Mass Quasi-Asimptotically Flat Spacetimes and Their ADM Mass

1996-11-14

arxiv.org/abs/gr-qc/9611043v1

Class.Quant.Grav. 14 (1997) 1309-1327

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex

Scientific paper

10.1088/0264-9381/14/5/031

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.

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