Asymptotic Limit of Null Hypersurfaces

2025/01/29 by Ciambelli, Luca · 6 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2501.17357

Abstract

We study null hypersurfaces approaching null infinity in asymptotically flat spacetimes within the Bondi-Sachs gauge. The null Raychaudhuri constraint is shown to asymptote to the Bondi mass-loss formula, interpreted as a stress tensor conservation law. This stress tensor, the null Brown-York tensor, yields a Carrollian stress tensor at null infinity from the bulk. Furthermore, we establish that the canonical phase space on finite-distance null hypersurfaces asymptotes to the Ashtekar-Streubel phase space. This connection between finite-distance null physics and null infinity unveils promising insights.

Cited by

• Supertranslations in the bulk of spacetime
• Twisting asymptotically-flat spacetimes
• Near-Horizon Symmetries in Einstein-Maxwell theory
• Boundary Actions and Loop Groups: A Geometric Picture of Gauge Symmetries at Null Infinity
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Radiation in Fluid/Gravity and the Flat Limit

Related

• Null Raychaudhuri: Canonical Structure and the Dressing Time
• Geometry of null hypersurfaces
• Asymptotics for Null-timelike Boundary Problems for General Linear Wave Equations
• The Positive Mass Theorem near null infinity
• A stress tensor for asymptotically flat spacetime