A hierarchical, boundary-regular affine-null form of the conformal Einstein-scalar equations is derived, shown equivalent to compactified physical-space equations, and used to extract the news function at null infinity.
Estimating total momentum at finite distances
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abstract
We study the difficulties associated with the evaluation of the total Bondi momentum at finite distances around the central source of a general (asymptotically flat) spacetime. Since the total momentum is only rigorously defined at future null infinity, both finite distance and gauge effects must be taken into account for a correct computation of this quantity. Our discussion is applicable in general contexts but is particularly relevant in numerically constructed spacetimes for both extracting important physical information and assessing the accuracy of additional quantities.
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gr-qc 1years
2025 1verdicts
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Conformal compactification and affine-null metric formulation of the Einstein equations
A hierarchical, boundary-regular affine-null form of the conformal Einstein-scalar equations is derived, shown equivalent to compactified physical-space equations, and used to extract the news function at null infinity.