Morawetz estimate for linearized gravity in Schwarzschild

Lars Andersson, Pieter Blue, Jinhua Wang

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 $r^p$ hierarchy estimates [13, 32] to prove that both the Regge-Wheeler and Zerilli variables decay as $t^{-\frac{3}{2}}$ in fixed regions of $r$.
Original languageEnglish
Pages (from-to)761-813
Number of pages44
JournalAnnales Henri Poincaré
Issue number3
Publication statusPublished - 11 Feb 2020

Keywords / Materials (for Non-textual outputs)

  • math.AP
  • gr-qc
  • math-ph
  • math.MP


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