There are many "equivalence principles" in general relativity, though they can roughly be arranged in order of increasing generality. The "strong equivalence principle" states:

1) The gravitational motion of a small test body depends only on its initial position in spacetime and velocity, and not on its constitution.

2) The outcome of any local experiment (gravitational or not) in a freely falling laboratory is independent of the velocity of the laboratory and its location in spacetime.

Main thing here is the first sentence of the article: "In the theory of general relativity, the equivalence principle is the equivalence of gravitational and inertial mass."

Foremost to note is that the principle's domain of validity is the mathematical framework of general relativity alone, and does not incorporate special relativity and the time dilation that special relativity models as a function of velocity alone (i.e. no acceleration and no mass).

@metal-brainsaid I didn't post an equation on this thread that I am aware of.
Shallow doo is just making up BS nonsense.

Previous page you wrote:

Hogwash!

Einstein's General Relativity equation has a "T" for time in it.
You just claimed General Relativity does not exist. Now you have a problem with Einstein and his GR equation.

You're referring to an equation, which is as good as typing it. So, produce this equation, or link to it, or something. Then state some semblance of a coherent argument for your thesis. It might help to thresh out your argument a bit better than "time dilation is gravity."

All this led Einstein to conclude that the force one feels from gravity and the force one feels from acceleration are the same. They are equivalent. Einstein called this the principle of equivalence.

...

With special relativity, Einstein proclaimed that absolute spacetime provides the benchmark, but special relativity does not take account of gravity. Then, through the equivalence principle, Einstein supplied a more robust benchmark that does include the effects of gravity. And this entailed a radical change in perspective. Since gravity and acceleration are equivalent, if you feel gravity's influence, you must be accelerating.

Object #1 going a steady velocity of 0.99c with respect to Object #2 will experience time dilation from the point of view of #2. But there is no acceleration and hence, by the equivalence principle immediately above which holds that "gravity and acceleration are equivalent," there is no gravity.