nLab positive energy theorem





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In classical gravity (general relativity) the positive energy theorem (formerly the positive mass conjecture) states that under reasonable assumptions (dominant energy condition) on the nature of the matter content (i.e. on the non-gravitational stress-energy tensor) then the ADM mass of any asymptotically flat spacetime solving the Einstein equations is non-negative, and zero precisely only for Minkowski spacetime (the vacuum).


An influential argument for the positive energy theorem for supergravity is due to

The first proof of the positive energy theorem for bosonic Einstein gravity was given in

An alternative proof for Einstein gravity, making crucial use of spinor algebra, was found in

  • Edward Witten, A new proof of the positive energy theorem, Commun. Math. Phys. 80, 381 (1981).

Comparison of the relation between the proof for supergravity and the spinorial proof for Einstein gravity is made in

  • Chris Hull, The positivity of gravitational energy and global supersymmetry, Comm. Math. Phys. Volume 90, Number 4 (1983), 545-561 (Euclid)

See also

Last revised on December 13, 2016 at 14:35:06. See the history of this page for a list of all contributions to it.