Can somebody explain a little bit about how to actually use Einstein's field equations to solve for particle locations? Relevant information: parentheses are sub-scripts R(uv)-1/2guvR+guv(cosmological constant sign)=(8piG/c^4)T(uv) where R is the Einstein Tensor R is described by wikipedia as the same as the Ricci tensor R(uv) is the Ricci Tensor The Ricci tensor is described by wikipedia as "represents the amount by which the volume element of a geodesic ball in a curved Riemannian manifold deviates from that of the standard ball in Euclidean space." (wikipedia, October 16th, 2011) But what if it doesn't deviate? Should a value of near zero be used? g(uv) is the inverse metric tensor which seems to be an important part that deals with the causal mathematical discription of curvature, placement, and so forth. G is Newton's gravitational constant Hey, I kind of get this...take the value...use it. T(uv) is the stress energy tensor This is connected with the flux of energy against and amongst objects. I know it's hard mathematics and there's a lot involved but it seems that two of the big things should be near zero and so I'm wondering how to get the other parts to make more sense...help?