What is the gravitational time dilation equation and how does it relate to the concept of time slowing down in stronger gravitational fields?

The gravitational time dilation equation is given by t' t (1 - 2GM/(rc2)), where t' is the time interval in a stronger 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 equation shows that time slows down in stronger gravitational fields because the gravitational force warps spacetime, causing time to pass more slowly closer to massive objects. This effect is known as gravitational time dilation.