Equation 39 · A Horizon Is a Toll Booth, Not a Loophole
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Symbol r
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What the article says around this equation
For a static observer at fixed areal radius r in a static, spherically symmetric spacetime, proper time and coordinate time are related by d = \,dt , with f(r) = 1-2GM/(r) for Schwarzschild. A locally conserved (Killing) energy — the energy the same quantity would be assigned by a distant static observer — and the energy measured by the local static observer, , are related by the standard blueshift-on-the-way-down relation
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