The Case Against Smooth Null Infinity

  • Leonhard Kehrberger (University of Cambridge)
ITP - Seminarraum Universität Leipzig, ITP (Leipzig)


Penrose's proposal of smooth conformal compactification is not only of geometric elegance, it also has concrete, physical implications, such as the "peeling off" of gravitational radiation near infinity. One natural question to ask is then: Do physically relevant spacetimes admit a smooth conformal compactification? To answer this question, I will present a scattering construction of spacetimes describing the far region of $N$ infalling masses coming from the infinite past and following approximately Keplerian orbits, and prove that such spacetimes violate the "peeling property" both in the past and in the future. This violation is in principle measurable in the form of leading-order deviations from the usual late-time tails of gravitational radiation.

09.12.22 24.05.24

General Relativity

Universität Leipzig Augusteum - A314

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail