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In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr black hole spacetime.
1906
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P. Blue and A. Soffer, “Semilinear wave equations on the Schwarzschild manifold. I. Local decay estimates,” Adv. Differential Equations 8
2003
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2006
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F. Finster, N. Kamran, J. Smoller, and S.-T. Yau, “Decay of solutions of the wave equation in the Kerr geometry,” Comm. Math. Phys. 264
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2018
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S. Klainerman and J. Szeftel, Global nonlinear stability of Schwarzschild spacetime under polarized perturbations , Annals of Mathematics Studies, Vol. 210 (Princeton University Press, Princeton, NJ, 2020) pp. xi+840
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2023
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D. Shen, “Construction of GCM hypersurfaces in perturbations of Kerr,” Ann. PDE 9
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