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A new proof of the positive energy theorem. (English) Zbl 1051.83532

Summary: A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theorems have been proved previously, by a different method, by R. Schoen and S. T. Yau [Commun. Math. Phys. 65, 45–76 (1979; Zbl 0405.53045)].) The relevance of these results to the stability of Minkowski space is discussed.

MSC:

83C99 General relativity
58J50 Spectral problems; spectral geometry; scattering theory on manifolds

Citations:

Zbl 0405.53045
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References:

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