Rest Frame System for Asymptotically Flat Spacetimes

Details Rest Frame System for Asymptotically Flat Spacetimes Rest Frame System for Asymptotically Flat Spacetimes

2002-03-22

arxiv.org/abs/gr-qc/0203075v1

J.Math.Phys. 39 (1998) 6631-6650

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, LaTeX2e

Scientific paper

10.1063/1.532646

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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