3 problems
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Teukolsky's separability conjecture under coordinate transformations
Teukolsky's separability conjecture. Separability should be preserved, or granted, under coordinate transformations of the displayed form.
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Characterization of totally geodesic submanifolds by vanishing Faraday rotation in Kerr geometry
In Kerr geometry, consider the Faraday rotation of photon polarization along null geodesics and the totally geodesic submanifolds containing such orbits. Characterization conjectur…
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The no-hair conjecture for four-dimensional stationary vacuum black holes
No-hair conjecture. The domains of outer communication of such black hole solutions are isometrically diffeomorphic to those of the Kerr family of black holes.