WannabeNewton said:
GR does not admit super position because the EFE are non linear as mass generates a gravitational field and the field contains energy and according to mass - energy equivalence the gravitational field is coupled to itself. I don't see what this has to do with the notion that gravity is "simply space - time curvature"? Correct me if I am wrong.
Here's what I read in sci.physics by a GR expert called Tom Roberts who distinguished between the different meaning of "field". He said:
"As I keep saying around here, beware of unacknowledged puns.
When we say "GR is a field theory", at base we are using the GEOMETRICAL meaning of the word "field": a function on the manifold. Yes, historically physicists invented this usage for this word (in math there are several completely different meanings of this word). But that was really "vector field" (c.f. Faraday et al).
In GR, most of the tensor quantities of interest are really tensor fields on the manifold. This is what permits us to write field equations, which are differential equations relating those tensor fields to each other.
> But there are "field vectors" even in GR.
I know of no "field vectors" for gravitation, in GR. perhaps one could define such things in some approximation, but in GR itself vectors are inadequate to represent gravitation. Note that electromagnetism is not a vector field either, but is a 2-form (a specific type of tensor field)."
Comment? As I understood the above. Gravity is simply spacetime curvature, the "field" in the EFE are just in the geometrical sense and not really vector field.