The paper proves a sufficient convexity criterion for off-shell Kerr radial mass profiles and derives first-order horizon, photon-sphere, and shadow responses for a fuzzy-dark-matter-inspired benchmark.
Carter, Hamilton–Jacobi and Schr¨ odinger separable solutions of Einstein’s equations, Commun
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Convexity criterion and radial-profile response for off-shell Kerr geometries: a fuzzy-dark-matter profile as an analytic benchmark
The paper proves a sufficient convexity criterion for off-shell Kerr radial mass profiles and derives first-order horizon, photon-sphere, and shadow responses for a fuzzy-dark-matter-inspired benchmark.