TL;DR
This paper derives a formula for the Bondi mass aspect using asymptotic data in the affine gauge and proves the positivity of the total energy of a regular null cone, confirming recent theoretical results.
Contribution
It introduces a new formula for the Bondi mass aspect in the affine gauge and establishes the positivity of null cone energy, aligning with recent findings.
Findings
Derived a formula for the Bondi mass aspect in the affine gauge
Proved positivity of the total energy of a regular null cone
Confirmed consistency with recent theoretical results
Abstract
We derive a formula for the Bondi mass aspect in terms of asymptotic data of the Bondi-Sachs metric in the affine gauge. We prove the positivity of the total energy of a regular null cone in agreement with a recent result of Chru\'{s}ciel and Paetz.
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