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This article contains too much jargon and may need simplification or further explanation. Please discuss this issue on the talk page, and/or remove or explain jargon terms used in the article. Editing help is available. (September 2008) |
A Killing horizon is a null hypersurface on which there is a null Killing vector field.
Associated to a Killing horizon is a geometrical quantity known as surface gravity, κ. If the surface gravity vanishes, then the Killing horizon is said to be degenerate.
Black hole Killing horizons
Exact black hole metrics such as the Kerr-Newman metric contain Killing horizons which coincide with their event horizons. It should be emphasized, however, that these two notions of horizon are independent. For this spacetime, the Killing horizon is located at
.
In the usual coordinates, outside the Killing horizon, the Killing vector field 
is timelike, whilst inside it is spacelike. The temperature of Hawking radiation is related to the surface gravity by TH = κ / 2π.
Cosmological Killing horizons
De Sitter space has a Killing horizon at 
which emits thermal radiation at temperature 
.
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