Calculate metric tensor in terms of Mass

[Gajanand Jha]

Homework Statement

Suppose everything is moving slowly, How can we find the metric tensor in GR in terms of the mass contained.

Homework Equations

I understand in case of everything moving slowly only below equation is relevant -

R⁰⁰ - ½g⁰⁰R = 8πGT⁰⁰ = 8πGmc²

The Attempt at a Solution

None.

 

[DEvens]

If you still have not solved this...

Look in your text for the slow-motion weak-field limit of GR. Alternatively, look for the Schwarzschild solution and how the mass of the central object is related through this solution to the Schwarzschild radius.