A spacetime can be foliated by spacelike hypersurfaces which are related by an isometry ##\partial_t##.(adsbygoogle = window.adsbygoogle || []).push({});

1. Why is ##\partial_{t}## called an isometry of the spacetime?

2. How are the spacelike hypersurfaces related by the isometry ##\partial_{t}##?

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# A Foliation of spacetime into spacelike hypersurfaces

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