# Gravity and age of Sun

*Most recent answer: 09/28/2010*

Q:

In general relativity, local strenght of gravity will dictate the speed of time as observed between two points in space. If we observe the sun, which has a massive gravity compare to earth, will this affect the speed of fusion reaction that we observe from the earth as occurring in the sun and will this than effect the age of the sun as calculated and perceived from earth?

- Emile van den akker

the netherlands

- Emile van den akker

the netherlands

A:

Nice question. It's not exactly the gravitational field that matters here but rather its integral, the gravitational potential. The sun is certainly at lower gravitational potential than the earth, so from our point of view it ages slowly. The magnitude of the effect is biggest near the middle of the sun and falls off a bit toward the outer part.

However, the effect is very small. You can estimate it from fraction GM/Rc

However, the effect is very small. You can estimate it from fraction GM/Rc

^{2}, where G is the gravitational constant, M is the sun's mass, R is its radius, and c is the speed of light.*(published on 09/28/2010)*