Newton's theory states that any body in motion keeps on moving in same direction and velocity unless and until it is acted upon by some external force. How does Einstein's Space Time model supports this? Unless motion of body altering the space-time it won't be possible for body to travel in same direction and velocity.
According Einstein's theory any object creates bulge in space-time which creates gravitational field. To keep object in continuous linear motion in Space-Time there needs to be further alterations in the space-time due to motion of body. Does motion of body create alterations in space-time?
Yes. A moving object has so-called inertial mass and bends spacetime around it. Newtonian mechanics apply only in so-called inertial coordinates: that is if you measure an object from a stationary point (or from a point moving in continuous motion to a one). There has been no true stationary objects in our Universe this far as far physics go. They also apply to objects if they are moving in a straight line with low speed.
The measurements given by Newton's laws are still quite good approximations of real-life situations: they start to break down in the relative speed of 0.5 times lightspeed or in the proximity of very massive phenomenon (black holes as an example). Still, there are many real-life things that make sure that there is no real possibility for objects to move contiuously: air drag, gravitational and electrical fields, friction, other objects etc make sure that phenomena start to look very non-Newtonian quite long before the theory of relativity has any measurable effect on it.
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