Gravitational time dilation on cylinderical objects

[Pretty Pony]

I am simply looking for the formula to work out the time dilation on cylinders with uniform density. Also, any links to arbitrary precision calculators would be appreciated.

[yuiop]

For the arbitrary precision calculator you could try http://pari.math.u-bordeaux.fr/
I have used it the past and it has some very advanced features, but you have to install it and it is a command line calculator.

[bcrowell]

Are you asking for (1) the time dilation resulting from an exact solution of the Einstein field equations, or (2) the time dilation in the weak-field limit, where the field is essentially Newtonian?

If it's 1, then I don't think you've specified enough to fully define the problem.

If it's 2, then you just need to calculate the potential of the cylinder by integrating. If you don't know how to do that, please tell us more about your math and science background, and we can try to help you at the correct level.

-Ben