Simplified spinorial proof of the positive energy theorem

Details Simplified spinorial proof of the positive energy theorem Simplified spinorial proof of the positive energy theorem

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48..628b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 2, 15 July 1993, pp.628-630

Physics

8

Scientific paper

In Witten-type proofs of the positive energy theorem for an asymptotically flat spacetime one encounters the problem of showing the existence of asymptotically constant spinors satisfying a certain differential equation on a noncompact hypersurface. In this paper it is shown that this problem can be avoided by using a much simpler equation in the asymptotic region. This gives a new and simple proof of positivity of both the ADM energy at spacelike infinity and the Bondi energy at null infinity.

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