# Is space time curvature an effect of "slowed" local expansion? - Is a gravity field 'drag' in the cosmic expansion?

I've been trying to intuit what gravity is actually doing in respect to spacetime for a while. I'm familiar with the technical descriptions the relevant equations present but I'm trying to form more of an abstract intuition of what's exactly going on.

Which has bought me to the notion that, given the FLRW metric following from the geometric properties of homogeneity and isotropy that the cosmos is (more or less) uniformly experiencing expansion; can we consider the space-time curvature describing a gravitational field, as an area of (for lack of a better term) drag on the cosmic expansion?

If we understand that Mass is the factor that slows cosmological expansion and that Mass defines spacetime curvature at a given local scale. Is it correct to deduce that what we're perceiving as spacetime curvature is an artifact / outcome of a reduced rate of expansion in the local area of gravitational influence of a given mass, manifesting as the physical attributes of curvature?

If we take as a given that without Mass space is expanding uniformly at a given rate and then we add a given mass to a specific point and calculate the curvature created. Would it be correct to intuit the gravitational field as being a slowing down of the expansion in that local area?

It seems to intuitively make the most sense to me. The greater the mass, the greater the drag; the greater the delay in expansion, creating a tendency for inertial vectors to tend asymptotically toward a single point. Where parallel geodesics would tend toward a single point the further 'into' the well they tend. Or to look at it another way, the smaller the relative scale of space something tends to relative to an observer at an inertial rate of expansion.

I could probably word this a lot better so excuse that if you may. But does anyone have any input on this view point? Is there some credence to this? And is it worth putting more effort in to clarifying this concept?

thanks.

• While it seems correct that there would be aberrations from the cosmological expansion on a local scale due to inhomogeneous mass-distributions on a local scale, it seems incorrect that the gravity itself is just the effect of slowed down expansion. In a completely static universe with no expansion whatsoever, gravity would still persist and in almost exactly the same manner as it appears now at the scale of terrestrial or galactic scales. Jun 21 '17 at 12:25