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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Surface gravity refers to the gravitational acceleration experienced at the surface of a celestial body, such as a planet, moon, or star. It is a measure of how strongly the body attracts objects toward its center due to gravity. Surface gravity can be calculated using the formula: \[ g = \frac{G \cdot M}{r^2} \] Where: - \( g \) is the surface gravity, - \( G \) is the gravitational constant (\(6.