TL;DR
This paper refines Penrose's conformal framework for asymptotically flat space-times, providing a precise description of infinity as a light cone and establishing finite energy fluxes and a consistent energy-momentum limit at spatial infinity.
Contribution
It introduces advanced and retarded conformal factors to better describe infinity as a metric light cone, unifying Bondi-Sachs and ADM energy-momenta.
Findings
Finite total radiated energy at spatial infinity.
Unique limit of energy-momentum matching ADM energy.
Decay of energy fluxes at infinity.
Abstract
A recent refinement of Penrose's conformal framework for asymptotically flat space-times is summarized. The key idea concerns advanced and retarded conformal factors, which allow a rigid description of infinity as a locally metric light cone. In the new framework, the Bondi-Sachs energy-flux integrals of ingoing and outgoing gravitational radiation decay at spatial infinity such that the total radiated energy is finite, and the Bondi-Sachs energy-momentum has a unique limit at spatial infinity, coinciding with the uniquely rendered ADM energy-momentum.
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Taxonomy
TopicsHistory and Developments in Astronomy