If a plane having velocity near about light is moving in the space then it will curve space or not .

Question

because the plane have a very high momentum then it must curve space as mass curve.

Answer 1

What? An object moving at near light speed would gain mass, and in theory would begin to warp space around it. But since it would be gaining mass, it would need more energy to continue moving at the same speed. The closer you get to the speed of light, the harder this would be. But you would have to be moving at very close to light speed to observe any effect of the curvature.

Answer 2

A plane can't travel near the velocity of light, because its inertia becomes infinite and thus its mass would become infinite, in effect, at the velocity of light. It would also be squashed flat in the direction of travel and be destroyed. If an object could travel near the velocity of light, it'd curve space for sure.

Answer 3

All matter warps space-time regardless of velocity. The amount of warpature is dependent on the object's density. With increase of velocity, the object's mass increases, thus the warpature increases somewhat, but as stated earlier the object's mass is creating the warpature not the velocity per se... just the slight increase due to relativistic effects.