Article Dans Une Revue Communications in Mathematical Physics Année : 2020

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

Résumé

This second part of the series treats spin $\pm 2$ components (or extreme components), that satisfy the Teukolsky master equation, of the linearized gravity in the exterior of a slowly rotating Kerr black hole. For each of these two components, after performing a first-order differential operator once and twice, the resulting equations together with the Teukolsky master equation itself constitute a linear spin-weighted wave system. An energy and Morawetz estimate for spin $\pm 2$ components is proved by treating this system. This is a first step in a joint work (Andersson et al. in Stability for linearized gravity on the Kerr spacetime, arXiv:1903.03859, 2019) in addressing the linear stability of slowly rotating Kerr metrics.

Dates et versions

hal-02906018 , version 1 (23-07-2020)

Identifiants

Citer

Siyuan Ma. 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. Communications in Mathematical Physics, 2020, 377 (3), pp.2489-2551. ⟨10.1007/s00220-020-03777-2⟩. ⟨hal-02906018⟩
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