Using:
( taken from another thread )
Rij - (gij*R)/2 + L*gij = -8*pi*G/c2 * Tij
Rij = Ricci tensor
R= curvature scalar
gij = metric tensor
L = cosmological constant
G = Newtonian gravitational constant
c = speed of light
Tij = energy - momentum tensor (sometimes called stress energy tensor
pi = 3.14159265358979323846…
If the right side goes to 0
Rij - (gij*R)/2 + L*gij = 0
then
Rij + L*gij = - (gij*R)/2 right?
But what does that mean?
Quote:
Originally Posted by Tensor
Which equation? There are many interrelated equations. I think you're talking about the Einstein Field Equations, (which is where the curvature and stress-energy tensors are) here it is G ab=0 or equivalently, R ab=0. Where G is the Einstein tensor and R is the Ricci tensor. The explanations and derivations can be found here |