Chapter2_17 - PHY3063 R D Field Time and Gravity...

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PHY3063 R. D. Field Department of Physics Chapter2_17.doc University of Florida Time and Gravity Gravitational Time Dilation (approximate): Note the t = T = 1/f ( i.e. time transforms like 1/f). Hence ( ) 1 2 1 2 2 / ) ( 1 t c V V t + and if V 2 < V 1 then t 2 < t 1 ( i.e. time moves more slowly the lower the gravitational potential! ). General Theory of Relativity: To get the exact answers one must do a real calculation using general relativity. The result is as follows: 1 2 2 1 2 1 2 2 2 ) / ) ( 1 ( / 2 1 / 2 1 1 2 2 1 t c V V t c V c V t c andV V + → + + = << 1 2 2 1 2 1 2 2 2 ) / ) ( 1 ( / 2 1 / 2 1 1 2 2 1 λ c V V c V c V c andV V +
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