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Event Horizon

The boundary around a black hole beyond which nothing, not even light, can escape due to the extreme curvature of spacetime.

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The statement of the theorem

The Event Horizon

\mathcal{H}

is the null hypersurface defined by the condition that the outgoing null geodesics are trapped, corresponding to the location where the metric component

g_{rr}

diverges or where the time component

g_{tt}

vanishes for the Schwarzschild metric:

g_{tt}(r) = 0 \text{ or } g_{rr}(r) \to \infty