Yes, a body would indeed age differently due to gravitational time dilation. Gravitational time dilation is a consequence of general relativity, which states that the curvature of spacetime is affected by the presence of mass and energy.
In the presence of a strong gravitational field, such as near a massive object like a planet or a black hole, time appears to pass more slowly compared to a region with weaker gravity. This means that clocks closer to the source of gravity will tick at a slower rate than clocks farther away.
As a result, if two observers were situated at different distances from a massive object, they would experience time dilation. The observer closer to the massive object would age more slowly compared to the observer situated farther away. This effect is commonly referred to as gravitational time dilation.
To illustrate this concept, let's consider an example. Suppose there are two astronauts, Alice and Bob. Alice is in orbit around a planet, while Bob is on the planet's surface. Due to the stronger gravitational field closer to the planet's surface, time will pass more slowly for Bob compared to Alice in orbit. Consequently, when they reunite after a certain period, Bob would have aged less than Alice.
This effect has been verified through various experiments and observations. For instance, high-precision atomic clocks have been used to demonstrate gravitational time dilation. In experiments conducted on Earth, scientists have observed tiny but measurable differences in the ticking rates of clocks placed at different elevations due to the variation in gravitational strength.
Therefore, gravitational time dilation is a real phenomenon, and it has practical implications for understanding how gravity affects the flow of time and the relative aging of objects in different gravitational fields.