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arxiv: math/0307286 · v1 · pith:PYCIG3Y6new · submitted 2003-07-21 · 🧮 math.DG · gr-qc

Bel--Robinson energy and constant mean curvature foliations

classification 🧮 math.DG gr-qc
keywords energybel--robinsonboundconstantcurvaturemeanspacetimealong
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An energy estimate is proved for the Bel--Robinson energy along a constant mean curvature foliation in a spatially compact vacuum spacetime, assuming an $L^{\infty}$ bound on the second fundamental form, and a bound on a spacetime version of Bel--Robinson energy.

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