So let me test my understanding of what you are saying about spacetime by putting it in my own words.
If you don't mind, I will jump in here to advance your understanding of the current consensus of our expanding universe.
You are saying that:
Spacetime expands.
Correct, spacetime, the aether, the Dirac sea or whatever else one may wish to name the vacuum of space.
Spacetime can expand faster than the speed of light.
To be more precise, two points in spacetime can separate faster than the speed of light if they are located far enough apart.
As spacetime expands it carries mass with it.
Well, neither mass nor spacetime moves in the
local spacetime, so it is a bit of a misnomer to say that mass is "carried" by spacetime.
So spacetime can expand such that two objects are carried away from one another faster than the light that they have emitted travels.
Yes, other than the reference to 'carried away'.
I assume that is because the light that they have emitted is not carried with it as spacetime expands?
An object is not moving in its local spacetime, at least due to the expansion. The local spacetime is not moving relative to the object. Emitted light cannot be 'carried' because the local background is not moving.
Or is light also carried with it as spacetime expands?
I'm not sure I understand exactly what you refer to when stating "carried with it". The speed of light will always measure as 'c' in a local frame of reference. Perhaps it is easier to think of the
volume of space increasing over a period of time, say one billion years. Say two objects in space are separated by one billion lightyears when a photon is emitted by each object toward the other object. While those two photons are travelling through space, the volume of space each must travel through is increasing over time. Even though the photon is always travelling a 'c' when measured in its local spacetime, it can take each photon much longer than a billion years to complete their respective journeys. Do you understand the true meaning when cosmologists state that the
rate of expansion is increasing? Consider those two photons that were emitted when two objects were one billion lightyears apart. Assume those two objects were very distant to us, both located in the early universe when it was only four billion years old. Now assume two more objects emit photons when they are located one billion lightyears apart, but both of those objects are located closer to us in the modern unverse. It takes longer for the photons in our modern universe to complete the 'original' one billion lightyears trip than for the photons in the early universe. The rate of expansion is increasing. The
rate of expansion was actually decreasing slightly until about seven or eight billion years ago, then the rate started increasing.
Got to leave for now, will continue my post at a later time.