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Spacetimes admitting isolated horizons
Classical and quantum gravity
We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition -- in precise sense -- of the Schwarzschild metric with a certain free data set propagating tangentially to the horizon. This proves Ashtekar's conjecture about the structure of spacetime near the isolated horizon. The same superposition method applied to the Kerr metric gives another class of vacuum solutions admitting isolated horizons. More generally, adoi:10.1088/0264-9381/17/4/101 fatcat:6qc6mrmwgncnvb3kc7hwdzjaii