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<p>Numerical evolutions of a system of equations close to null infinity in the geometric background of the <i>inversion-Minkowski spacetime</i> are performed. The evolved equations correspond to the linearisation of a second order metric formulation of the conformal Einstein field equations (CEFEs). These linear equations were first presented in [<CitationRef CitationID="CR1">1</CitationRef>] and the main purpose of this paper is to illustrate, through numerical evolutions, the scri-fixing technique via gauge source functions introduced [<CitationRef CitationID="CR1">1</CitationRef>] for the linearised CEFEs. A comparison of evolutions using scri-fixing gauge sources and trivial gauge source function in spherical and axial symmetry is presented.</p>

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Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月16日

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  • Christian Peterson,
  • Edgar Gasperín,
  • Alex Vañó-Viñuales

摘要

Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspond to the linearisation of a second order metric formulation of the conformal Einstein field equations (CEFEs). These linear equations were first presented in [1] and the main purpose of this paper is to illustrate, through numerical evolutions, the scri-fixing technique via gauge source functions introduced [1] for the linearised CEFEs. A comparison of evolutions using scri-fixing gauge sources and trivial gauge source function in spherical and axial symmetry is presented.