Mathematica Geodesic expansion in Mathematica

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The discussion centers on finding a Mathematica package capable of calculating the induced metric, external curvature, and expansion related to hypersurfaces, whether spacelike or null. xAct is identified as a potential solution, known for its ability to compute induced metrics and external curvatures. Users express a need for guidance on calculating normals to hypersurfaces and expansions, with a suggestion to seek further assistance in the xAct user forum for more detailed support and tutorials.
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 think that xAct (http://www.xact.es/) can calculate induced metrics and related quantities...
 
I Know that it can calculate induced metrics and external curvatures.
May be you know how to calculate there normals to hypersurfaces and expansions?
 

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