Curvature Estimates in Asymptotically Flat Lorentzian Manifolds
2005 ◽
Vol 57
(4)
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pp. 708-723
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Keyword(s):
AbstractWe consider an asymptotically flat Lorentzian manifold of dimension (1, 3). An inequality is derived which bounds the Riemannian curvature tensor in terms of the ADM energy in the general case with second fundamental form. The inequality quantifies in which sense the Lorentzianmanifold becomes flat in the limit when the ADM energy tends to zero.
2009 ◽
Vol 80
(2)
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pp. 251-274
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2016 ◽
Vol 289
(17-18)
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pp. 2263-2272
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2016 ◽
Vol 14
(2)
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pp. 1-8
Keyword(s):
2020 ◽
Vol 35
(1)
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pp. 089
2002 ◽
Vol 45
(2)
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pp. 232-246
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2019 ◽
Vol 16
(01)
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pp. 1950016