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/lp/american-physical-society-aps/simplified-spinorial-proof-of-the-positive-energy-theorem-gLoDK9MdqF
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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1993 The American Physical Society
- ISSN
- 1089-4918
- DOI
- 10.1103/PhysRevD.48.628
- Publisher site
- See Article on Publisher Site
Abstract
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.
Journal
Physical Review D – American Physical Society (APS)
Published: Jul 15, 1993