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Rest Frame System for Asymptotically Flat Spacetimes

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arxiv gr-qc/0203075 v1 pith:24VXBGJU submitted 2002-03-22 gr-qc

Rest Frame System for Asymptotically Flat Spacetimes

classification gr-qc
keywords nicesectionsexistenceproofsolutionssystemarticleasymptotically
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory

    gr-qc 2026-06 unverdicted novelty 6.0

    Introduces a gauge transformation framework for BMS frames in multiscale black hole perturbation theory on Kerr that incorporates memory effects and avoids infrared divergences.

  2. Fixing the center-of-mass frame of numerical relativity waveforms using the post-Newtonian center-of-mass charge

    gr-qc 2026-03 conditional novelty 6.0

    A post-Newtonian model of the boosted center-of-mass charge makes BMS frame-fixing of nonprecessing, unequal-mass NR waveforms less sensitive to the fitting window, reducing parameter variance by up to ~25x.