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Cited by 55

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Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem

Beig, Robert, Chruściel, Piotr T.·1996·Journal of Mathematical Physics
DOI 10.1063/1.531497
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Abstract

We study Killing vector fields in asymptotically flat space–times. We prove the following result, implicitly assumed in the uniqueness theory of stationary black holes. If the conditions of the rigidity part of the positive energy theorem are met, then in such space–times there are no asymptotically null Killing vector fields, except if the initial data set can be embedded in Minkowski space–time. We also give a proof of the nonexistence of nonsingular (in an appropriate sense) asymptotically flat space–times that satisfy an energy condition and that have a null ADM four-momentum, under conditions weaker than previously considered.

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Research works printed but not linked: 32

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Metadata

Authors
Beig, R., & Chruściel, P. T.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1996-04-01
Volume
37
Issue
4
Pages
1939-1961
ISSN
  • 0022-2488
  • 1089-7658
DOI
10.1063/1.531497
Cited by
55
References
3
Language
en

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CoChat. (2026). Citation check: Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem. https://app.cochat.ai/papers/10.1063/1.531497
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Beig, R., & Chruściel, P. T. (1996). Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem. Journal of Mathematical Physics. https://doi.org/10.1063/1.531497

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