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

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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.