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Equation 88 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole

Symbol E_rm loc

Eloc=E∞/fE_{\rm loc}=E_\infty/\sqrt f
ElocE_{\rm loc}

What this part means

ErE_rm loc is part of the quantity the equation computes from the expression on the right.

Its job in the formula

ErE_rm loc is part of the quantity the equation computes from the expression on the right.

The passage around this formula

Rotating (Kerr) holes complicate the static-observer story: inside the ergosphere, no observer can remain static relative to infinity at all, and a locally nonrotating (ZAMO) observer is instead dragged around the hole at an angular rate fixed by the metric, with a redshift-like relation between locally measured and asymptotic energy that generalizes ElocE_{\rm loc}=E∞E_\infty/f\sqrt f to the appropriate lapse function of Boyer-Lindquist coordinates [ 13 ] . The ergosphere is also where the Penrose process operates: a particle split inside the ergosphere can send one fragment outward carrying more energy than the original particle possessed, with the deficit paid by the hole’s own rotational…

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Sources cited in the surrounding passage

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