The cosmological constant and the energy of gravitational radiation

Piotr T. Chruściel University of Vienna, Harvard University Lukas Ifsits University of Vienna

Publications of CMSA of Harvard mathscidoc:1702.38007

We propose a definition of mass for characteristic hypersurfaces in asymptotically vacuum space-times with non-vanishing cosmological constant Λ ∈ R ∗ , generalising the definition of Trautman and Bondi for Λ = 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 Λ = 0.
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@inproceedings{piotrthe,
  title={The cosmological constant and the energy of gravitational radiation},
  author={Piotr T. Chruściel, and Lukas Ifsits},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170206234730547144206},
}
Piotr T. Chruściel, and Lukas Ifsits. The cosmological constant and the energy of gravitational radiation. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170206234730547144206.
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