Proves threshold-sharp stability for the conformal scalar-curvature sector on Carter slabs and extends the framework to black hole exteriors like Kerr and Reissner-Nordström.
Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
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abstract
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime.
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2026 1verdicts
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Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors
Proves threshold-sharp stability for the conformal scalar-curvature sector on Carter slabs and extends the framework to black hole exteriors like Kerr and Reissner-Nordström.