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arXiv · 1510.03789

Is the Hawking quasilocal energy "Newtonian"?

Valerio Faraoni
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Abstract

The Misner-Sharp-Hernandez mass defined in general relativity and in spherical symmetry has been recognized as having a Newtonian character in previous literature. In order to better understand this aspect we relax spherical symmetry and we study the generalization of the Misner-Sharp-Hernandez mass to general spacetimes, i.e., the Hawking quasilocal mass. The latter is decomposed into a matter and a pure Weyl contribution. The decomposition of the Weyl tensor into an electric part (which has a Newtonian counterpart) and a magnetic one (which does not) further splits the quasilocal mass into "Newtonian" and "non-Newtonian" parts. It is found that only the electric (Newtonian) part contributes.

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Valerio Faraoni. 2015-10-13. Is the Hawking quasilocal energy "Newtonian"?. https://arxiv.org/abs/1510.03789

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