Forces and factors which act upon masses as they aproach c, and how they do so.

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As an entity approaches the speed of light, its inertia increases, but this does not distort its gravitational field. The gravitational field is determined solely by the object's rest mass, not its velocity. The concept of relativistic mass is often misunderstood; it is essentially a measure of kinetic energy rather than a change in gravitational influence. Therefore, an object's high speed does not equate to a stronger gravitational field. Understanding these principles clarifies the relationship between mass, velocity, and gravity in the context of relativity.
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If the increase in an entity's inertia as it aproaches the speed of light causes a distortion in it's mass, then does the gravity of the entity become distorted as well? And if so, by what degree?
 
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No. This is a common misconception. Since velocity is completely relative, it doesn't make sense to say that an object traveling at a high speed has a high gravitational field. Only an object's rest mass determines its gravitational field. Relativistic mass is really just kinetic energy.
 

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