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On Uniqueness of Kerr Space-time near null infinity
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🌀 gr-qc
keywords
kerrinfinitymetricnearnullspace-timeuniquenessasymptotic
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We re-express the Kerr metric in standard Bondi-Saches' coordinate near null infinity ${\cal I}^+$. Using the uniqueness result of characteristic initial value problem, we prove the Kerr metric is the only asymptotic flat, stationary, axial symmetric, Type-D solution of vacuum Einstein equation. The Taylor series of Kerr space-time is expressed in terms of B-S coordinates and the N-P constants have been calculated.
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Cited by 1 Pith paper
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Shaving off soft hairs and the black hole image memory effect
Soft-haired Kerr black holes show rotated, dilated, drifting images and an image memory effect when soft hair changes via waves, with the effect scaling with the large black hole's mass and spin.
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