THE THEORY OF RELATIVITY

Is Newtons law of gravity different from Einsteins?

Not Really.

Except that Einstein went a step further to explain gravity saying that it was caused due to distortions in time-space caused due to the object of gravity.

Thus some physicists say that actually the moon should be colliding into the earth in an orbit slowly but steadily and may be that it is balanced by a centripetal force somewhere.

Also some physicist argue that space-time is not a fabric...but a fluid and say that when an object moves in this fluid....it actually ruptures or rather displaces this fluid causing then nearby fluid and objects involved in the nearby vicinity to get attracted to it.