Characterization of gravitational radiation at infinity with a cosmological constant

Abstract

The existence or absence of gravitational radiation escaping from the spacetime at $\mathcal{J}$ is characterized in the presence of a cosmological constant $\Lambda$ of any sign. To that end, the properties of the asymptotic super-momentum are used. When $\Lambda =0$, the characterization is equivalent to that based on the News tensor. For $\Lambda \ne 0$, it provides the first reliable definition of existence of radiation at $\mathcal{J}$, and it gives fully satisfactory results in known exact solutions.

arXiv comment4 pages, contribution to the proceedings of the International Conference on General Relativity and Gravitation (GR24)

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