Morawetz estimate for linearized gravity in Schwarzschild

Autoren: Lars Andersson, Pieter Blue, Jinhua Wang (2020)

The equations governing the perturbations of the Schwarzschild metric satisfy the Regge-Wheeler-Zerilli-Moncrief system. Applying the technique introduced in [2], we prove an integrated local energy decay estimate for both the Regge-Wheeler and Zerilli equations. In these proofs, we use some constants that are computed numerically. Furthermore, we make use of the rp hierarchy estimates [13, 32] to prove that both the Regge-Wheeler and Zerilli variables decay as t-3/2 in fixed regions of r.

Zeitschrift:
Annales Henri Poincaré
Verlag:
Springer
Seiten:
1–53

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