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

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arxiv 2503.08672 v1 pith:XHMIUVVS submitted 2025-03-11 gr-qc

classification gr-qc
keywords equationsevolutionsgaugenumericalcefesconformaleinsteinfield
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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.

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Cited by 1 Pith paper

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

  1. Topical Collection-Hyperboloidal Foliations in the Era of Gravitational-Wave Astronomy: From Mathematical Relativity to Astrophysics

    gr-qc 2025-09 unverdicted novelty 1.0 of 10

    An editorial overview of a topical collection showing that hyperboloidal foliation methods have matured from linear perturbations toward nonlinear evolutions.

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