# Time deviation inside the Sun

## Main Question or Discussion Point

How much slower is time ticking inside the Sun, compared to the surface, and how can it be calculated?

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HallsofIvy
Homework Helper
How far inside the sun? The rate at which time moves depends upon the gravitational force at the point and that varies from the value at the surface to 0 at the center.

JesseM
$$\frac{d\tau_{centre}}{d\tau_{surf}}=\left( \frac{d\tau_{centre}}{dt}\right) \left( \frac{d\tau_{surface}}{dt}\right)^{-1} =\frac{\frac{3}{2}\sqrt{1-\frac{2GM}{c^{2}R}}-\frac{1}{2}}{\sqrt{1-\frac{2GM}{c^{2}R}-v^{2}}}$$