Geometrical asymptotics in General Relativity

par Dr Yannick Herfray (Institut Denis Poisson, Université de Tours, France.)

mardi 28 févr. 2023, 14:00 → 15:00 Europe/Paris

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Abstract:

In general relativity there are several classical notions of asymptotic flatness: In effect these amount to the possibility of “adding a boundary at infinity” to the curved spacetime. The exact procedure and geometry is however very different depending on whether one considers an asymptote in null, time-like, or space-like directions. I will show that these can nonetheless all be derived from one unique concept, curved obit decomposition of Cartan geometry, and that there is therefore a profound unity in these notions of asymptotics.

Keywords:
General Relativity, Asymptotic Symmetry, Cartan geometry, Tractors