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Rest Frame System for Asymptotically Flat Spacetimes

Osvaldo M. Moreschi·Sergio Dain
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Abstract

The notion of center of mass for an isolated system has been previously encoded in the definition of the so called nice sections. In this article we present a generalization of the proof of existence of solutions to the linearized equation for nice sections, and formalize a local existence proof of nice sections relaxing the radiation condition. We report on the differentiable and non-self-crossing properties of this family of solutions. We also give a proof of the global existence of nice sections.

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Osvaldo M. Moreschi, Sergio Dain. 2002-03-22. Rest Frame System for Asymptotically Flat Spacetimes. https://doi.org/10.1063/1.532646

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