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Morawetz estimate for linearized gravity in Schwarzschild

Andersson, L., Blue, P., & Wang, J. (in preparation). Morawetz estimate for linearized gravity in Schwarzschild.

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1708.06943.pdf (Preprint), 812KB
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Creators:
Blue, Pieter, Author
Wang, Jinhua, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012

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Free keywords: Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Abstract: 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 $r$.

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Dates: 2017-08-232017-08-24
Publication Status: Not specified
Pages: 42 pages
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1708.06943
URI: http://arxiv.org/abs/1708.06943
Degree: -

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