If an object has an acceleration = c/1000 m/s2 then according to Newtonian calculations it would reach the speed of light in 1000 seconds.
But then there is the time dilation effect sqrt(1- v2/c2) which when multiplied by the above Newtonian calculations results in the velocity = 0.0 m/s at time = 1000 s
According to my Microsoft Excel chart (below) the maximum speed the object can attain is 0.5c at time = 707 seconds.
Is this the braking effect of GR because I read somewhere on this forum that GR actually begins to brake an in-falling object so that the object stops at the event horizon?
Or maybe I'm just not calculating it correct ....