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I'm wondering if there are any good programs to calculate the various tensors that one needs to solve the Einstein field equations for a very general metric i.e. metric components are not specified explicitly, only their functional dependence on the coordinates

e.g.

[tex]ds^2=-n^2(\tau,y)d\tau^2 + a^2(\tau, y)\delta_{ij}dx^idx^j[/tex]

and things that look like that.

I have Maple and Mathematica, if there are any packages for those programs that deal with stuff like this.

Thanks!

e.g.

[tex]ds^2=-n^2(\tau,y)d\tau^2 + a^2(\tau, y)\delta_{ij}dx^idx^j[/tex]

and things that look like that.

I have Maple and Mathematica, if there are any packages for those programs that deal with stuff like this.

Thanks!

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