What is actually gravity?
Like any natural phenomena, gravity is what we observe. We represent such phenomena via models so we can predict some interactions that we haven't yet observed or cannot observe.
But there are aspects of 'gravity' which are not so clear.
Here are some model illustrations and some of what we observe:
Gravity is unique in that it we find it affects everything, even space and time. Other forces, like electromagnetism for example, only affect charged particles [objects]. But gravity affects charged particles.
In special relativity,SR, no gravity, relative motion causes 'space contraction' and 'time dilation', distortions in space and time.
In general relativty,GR, we find also that differences in gravitational potential also affect the passage of time.
The "amount of gravity produced by an object" is frame-invariant; it doesn't matter what your state of motion is relative to the object.
the boundary between gravity and geometry is indistinguishable
It was explained to me some years ago in these forums you can picture world lines [paths, or curves] in special relativity as you would curves on a flat graph paper. When gravitational curvature is involved, as in GR, the graph paper itself on which the curved worldlines are drawn is itself curved.
PAllen:
One concept of gravity is called 'tidal gravity': even if a moon is in free fall or orbiting a massive body, different parts of it are pulled in different directions so it is under stress: tidal stress. This is the sense of gravity that, in GR, corresponds to curvature and is not a coordinate dependent feature...
On the other hand 'gravity' has some rather indeterminate features in our models: In general we can't define the energy of the gravitational field nor do we have a single overall measure
for what we call 'gravitational curvature'. Worse is that our model equations seem to break down when space time curvature becomes extreme, that is very high energy situations, like at the moment of the Big Bang and the center of black holes. If we knew everything we'd like to know about gravity, we'd have a theory of quantum gravity...meaning an overall theory and math that includes general relativity and quantum mechanics. That's a work in progress.