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arXiv · 1603.07018

The cosmological constant and the energy of gravitational radiation

Piotr T. Chruściel·Lukas Ifsits
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Abstract

We propose a definition of mass for characteristic hypersurfaces in asymptotically vacuum space-times with non-vanishing cosmological constant $\Lambda \in {\mathbb R}^*$, generalising the definition of Trautman and Bondi for $\Lambda=0$. We show that our definition reduces to some standard definitions in several situations. We establish a balance formula linking the characteristic mass and a suitably defined renormalised volume of the null hypersurface, generalising the positivity identity of one of us (PTC) and Paetz proved when $\Lambda=0$.

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Piotr T. Chruściel, Lukas Ifsits. 2016-03-22. The cosmological constant and the energy of gravitational radiation. https://doi.org/10.1103/physrevd.93.124075

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