Yes, time moves slower in the presence of stronger gravitational fields. This phenomenon, known as gravitational time dilation, is a consequence of Albert Einstein's theory of general relativity. According to this theory, gravity is not just a force but also a curvature of spacetime caused by massive objects.
Gravitational time dilation occurs because gravity warps the fabric of spacetime, affecting the flow of time. In regions of stronger gravitational fields, time passes more slowly compared to regions with weaker gravitational fields.
To understand this concept, consider two observers—one located in a region of higher gravity (e.g., near a massive planet) and another in a region of lower gravity (e.g., in space far from massive objects). The observer in the higher gravitational field experiences time passing at a slower rate compared to the observer in the lower gravitational field.
This effect has been experimentally observed and confirmed. For example, atomic clocks placed at different altitudes (where gravitational fields vary) have shown that clocks closer to Earth's surface run slightly slower than clocks at higher altitudes.
The amount of time dilation depends on the strength of the gravitational field and the relative difference in gravitational potential between two locations. The closer an object is to a massive body, the stronger the gravitational field, and the more pronounced the time dilation.
Therefore, on planets with higher gravity, time will indeed move slower relative to regions with weaker gravity. This phenomenon has implications for various fields, including astronomy, space exploration, and the accurate synchronization of timekeeping systems.