Does any gravitating body emit Hawking radiation?

johne1618
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The Hawking-Unruh temperature is given by the expression:

\large T = \frac{\hbar g}{2 \pi c k}

where g is the gravitational acceleration at the surface of a black hole.

Does this expression imply that any gravitating body will emit Hawking radiation?

For example if we take the acceleration due to gravity at the Earth's surface to be g = 10 \ m/s^2 does that mean that the Earth emits Hawking radiation at a temperature T = 10^{-20} K?

John
 
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No. You have to have an event horizon to produce hawking radiation; but anybody with an event horizon should do that (few examples besides black-holes).
 
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