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.
Adaptive quadrature reports an area error below 5×10 −13M 2 ADM, corresponding to less than 2×10 −8 in thes= 10 −6 difference quotient
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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.