A Killing horizon is a null hypersurface whose null generators are orbits of a Killing vector field . On the horizon, defines its surface gravity.
The surface gravity measures the failure of a horizon-generating Killing vector field to be affinely parametrized. For a static metric with a simple horizon at , .
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A **Killing horizon** is a concept that arises in the context of theoretical physics, particularly in general relativity and the study of black holes. It is associated with the properties of spacetime near gravitational sources, particularly in situations involving event horizons. The term "Killing" refers to **Killing vectors**, which are mathematical objects that describe symmetries in a spacetime.