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ocalhoun

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Suppose two black holes were on a collision course with each other. As they get closer, their combined gravitational force causes them to accelerate. As they accelerate, due to relativity, their mass increases, as their masses increase, their gravitational force increases (right?) As their gravitational force increases, they accelerate more. So, could they eventually get to the speed of light?

Their mass would then be infinite, so it would take an infinite force to accelerate them, but their mass being infinite, their gravity would also be infinite, causing the force accelerating them to be infinite as well...