Geodesic expansion in Mathematica

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unih
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Does anybody knows the package that can, given metric and equation of hypersurface (spacelike or null )calculate induced metric, external curvature and expansion (Raychaudhuri equation) in Mathematica.
Thanks
 
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I Know that it can calculate induced metrics and external curvatures.
May be you know how to calculate there normals to hypersurfaces and expansions?