What is the gravitational time dilation formula and how does it relate to the concept of time in the presence of strong gravitational fields?

The gravitational time dilation formula is given by t' t (1 - 2GM/(rc2)), where t' is the time interval in a strong gravitational field, t is the time interval in a weaker gravitational field, G is the gravitational constant, M is the mass causing the gravitational field, r is the distance from the center of the mass, and c is the speed of light.

This formula shows that time passes more slowly in stronger gravitational fields. This is because gravity warps spacetime, causing time to be experienced differently depending on the strength of the gravitational field. In the presence of strong gravitational fields, such as near a black hole, time dilation can be significant, leading to effects like time appearing to slow down for an observer outside the strong gravitational field.