Geodesic expansion in Mathematica

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Discussion Overview

The discussion revolves around the use of Mathematica for calculating induced metrics, external curvature, and expansion related to geodesic expansion, specifically through the Raychaudhuri equation. Participants are exploring the capabilities of specific packages for these calculations.

Discussion Character

  • Technical explanation, Exploratory

Main Points Raised

  • One participant inquires about a Mathematica package that can compute induced metrics, external curvature, and expansion given a metric and hypersurface equation.
  • Another participant suggests that the xAct package may be capable of performing these calculations.
  • A different participant confirms that xAct can calculate induced metrics and external curvatures but seeks guidance on calculating normals to hypersurfaces and expansions.
  • One participant admits limited experience with xAct and suggests posting in a dedicated forum for further assistance.

Areas of Agreement / Disagreement

There is no consensus on the specific methods for calculating normals and expansions, and the discussion reflects varying levels of familiarity with the xAct package.

Contextual Notes

Participants express uncertainty regarding the specific functionalities of xAct related to normals and expansions, indicating a potential gap in knowledge or documentation.

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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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