Does any gravitating body emit Hawking radiation?

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SUMMARY

The discussion centers on the emission of Hawking radiation by gravitating bodies, specifically addressing the conditions required for such emission. The Hawking-Unruh temperature formula, T = (ħg)/(2πck), indicates that gravitational acceleration (g) influences temperature. However, it is established that only bodies with an event horizon, such as black holes, emit Hawking radiation. The Earth, despite having a gravitational acceleration of 10 m/s², does not emit Hawking radiation due to the absence of an event horizon.

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  • Understanding of Hawking radiation and its significance in theoretical physics.
  • Familiarity with the concept of event horizons in black hole physics.
  • Basic knowledge of gravitational acceleration and its measurement.
  • Awareness of the Hawking-Unruh temperature formula and its components.
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  • Study the properties and implications of event horizons in black holes.
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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
 
Space news on Phys.org
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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