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Kerr ISCO

≈ 42.3%

%
Calculated

Radiative efficiency of a thin disk at the prograde ISCO of an extreme Kerr hole

For a = M, specific energy at ISCO is 1/√3, so η = 1 − 1/√3 ≈ 42.3%. Physical spin is less than 1.

What it supports

A general-relativity identity in the test-particle Kerr metric. Neighbor digits to rainbow 42.3°, not the same object.

What it does not

Not a measured 42%. Not the same 42.3 as the primary bow.

Calculation

η = 1 − 1/√3 ≈ 0.4226 for a/M = 1 prograde

Kerr geodesic specific energy at the innermost stable circular orbit

ExactnessDerived mathematics

FormOther form

Unit%

Strengthhard

Source

Bardeen, Press & Teukolsky 1972, ApJ 178:347

Owner

The Book of 42