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arXiv · 2608.28741

Carroll-Cotton Tensors and Gravitational Radiation at Null Infinity

Adrien Fiorucci·Simon Pekar·P. Marios Petropoulos·Matthieu Vilatte
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Abstract

We provide a first-principles definition of Cotton tensors on conformal Carroll geometries by gauging the conformal Carroll algebra. On the mathematical side, this analysis yields a conformally covariant object designed to quantify deviations from conformal flatness in Carrollian geometries. On the physical side, it offers a powerful geometric tool to describe gravitational radiative degrees of freedom at the conformal boundary of four-dimensional asymptotically flat spacetimes. Unlike the Bondi news, whose fully-covariant definition requires amendment by supplementary data that we identify with the Geroch tensor, the Carroll-Cotton tensors offer the natural geometric objects to quantify deviations from stationarity due to the emission of gravitational waves.

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Adrien Fiorucci, Simon Pekar, P. Marios Petropoulos, Matthieu Vilatte. 2026-08-28. Carroll-Cotton Tensors and Gravitational Radiation at Null Infinity. https://arxiv.org/abs/2608.28741

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