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I am asking for Mathematica package, such that for the input of an asymptotically flat Lorentzian metric tensor $g_{\mu\nu}$ it will give the ADM mass of the object that creates the corresponding gravitational field.

Theoretically the ADM mass given by the following formula: $$M_{ADM}=\oint_\infty\sqrt{g}g^{ij}g^{kl}(g_{ik,j}-g_{ij,k})dS_{l}$$ Where for D dimensional space the integration is over the $D-2$ hypersphere with infinite radius.

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    $\begingroup$ xAct (xact.es) is often used in general relativity calculation and tensor manipulation applications, but I am not sure it can calculate ADM mass. $\endgroup$
    – mattiav27
    Commented Jun 20 at 13:14

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