Yes, according to the theory of general relativity, gravity can indeed cause both time dilation and length contraction. These effects are consequences of the curvature of spacetime caused by massive objects.
Time dilation, as we discussed earlier, refers to the slowing down of time for an object in a gravitational field or in motion relative to a stationary observer. This effect means that time appears to pass more slowly for an object in a stronger gravitational field compared to an object in a weaker gravitational field or at rest.
Length contraction, on the other hand, refers to the shortening of an object's length along the direction of motion as it approaches relativistic speeds. This effect occurs when an object moves at a significant fraction of the speed of light. From the perspective of an observer in a different reference frame, the moving object appears shorter in the direction of motion.
Both time dilation and length contraction are consequences of the spacetime curvature caused by gravity. The specific amount of dilation or contraction depends on the strength of the gravitational field or the velocity of the object relative to the observer. The effects become more significant as the gravitational field becomes stronger or as the object approaches the speed of light.
It's important to note that the effects of time dilation and length contraction are interconnected. As an object's time slows down, it also experiences length contraction. These relativistic effects are fundamental aspects of Einstein's theory of general relativity and have been experimentally verified in various ways.