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The equations governing the perturbations of the Schwarzschild metric satisfy the Regge-Wheeler-Zerilli-Moncrief system.
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by same author, The wave equation on the Schwarzschild metric II. Local decay for the spin-2 Regge–Wheeler equation , J. Math. Phys. 46
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by same author, A proof of Price’s law for the collapse of a self-gravitating scalar field , Invent. Math. 162
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F. Finster, N. Kamran, F. Smoller, and S.-T. Yau, Decay of solutions of the wave equation in the Kerr geometry , Communications in Mathematical Physics 264
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by same author, A new physical-space approach to decay for the wave equation with applications to black hole spacetimes , XVIth International Congress on Mathematical Physics (P. Exner, ed.), World Scientific, London, 2009, pp. 421–433
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by same author, The red-shift effect and radiation decay on black hole spacetimes , Comm. Pure Appl. Math. 62
2009
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J. Luk, Improved decay for solutions to the linear wave equation on a Schwarzschild black hole , Ann. Henri Poincaré 11
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D. Tataru amd M. Tohaneanu, A local energy estimate on Kerr black hole backgrounds , Int. Math. Res. Not. IMRN 2011, no. 2, 248–292
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R. Donninger, W. Schlag, and A Soffer, On pointwise decay of linear waves on a Schwarzschild black hole background , Communications in Mathematical Physics 309
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2016
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M. Dafermos, I. Rodnianski, Y. Shlapentokh-Rothman, Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case | a | < M |a|<M , Ann. of Math. (2) 183
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2016
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Georgios Moschidis, The r p r^{p} -weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications , Ann. PDE 2
2016
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2017
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2017
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by same author, Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole II : linearized gravity , to appear (2017)
2017
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