Gravitational “Red Shift” (Slow down)
Apply the equivalence principle to this result: the same effect must occur in a gravitational field!
Light emitted from a height H will be observed from height 0 to have a higher frequency than that with which it was emitted.
????????????????????f = f0 / (1 - ?), ? = v/c = aL/c2
Note: different frequencies ? different times!
Clocks at bottom run slow compared to those at top!
- “Run slow” because the same light beam is measured to have higher frequency (shorter time period) compared to clock at top
Clocks at top run fast compared to those at bottom!
- Example: light emitted from a star with a large gravitational field will appear at a lower frequency (“Red Shift”) when observed by an observer in a small gravitational field (e.g. on earth.)