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On smooth Cauchy hypersurfaces and Geroch's splitting theorem
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abstract
Given a globally hyperbolic spacetime $M$, we show the existence of a {\em smooth spacelike} Cauchy hypersurface $S$ and, thus, a global diffeomorphism between $M$ and $\R \times S$.
Forward citations
Cited by 3 Pith papers
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Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach
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The Fermionic Signature Operator in the Reissner-Nordstr\"om Geometry in Horizon-Penetrating Coordinates
Proves mass decomposition theorem for spacetime inner product via fermionic signature and flux operators for Dirac equation in Reissner-Nordström spacetime in horizon-penetrating coordinates, computes spectra, constru...
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Non-perturbative, background independent canonical quantum gravity in Fock representations
Existence of background-independent Fock representations for canonical quantum gravity with matter, producing a separable Hilbert space unlike LQG.
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