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Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes

Angelopoulos, Yannis and Aretakis, Stefanos and Gajic, Gajic (2021) Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes. . (Unpublished)

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In this paper, we prove precise late-time asymptotics for solutions to the wave equation supported on angular frequencies greater or equal to ℓ on the domain of outer communications of subextremal Reissner-Nordström spacetimes up to and including the event horizon. Our asymptotics yield, in particular, sharp upper and lower decay rates which are consistent with Price's law on such backgrounds. We present a theory for inverting the time operator and derive an explicit representation of the leading-order asymptotic coefficient in terms of the Newman-Penrose charges at null infinity associated with the time integrals. Our method is based on purely physical space techniques. For each angular frequency ℓ we establish a sharp hierarchy of r-weighted radially commuted estimates with length 2ℓ+5. We complement this hierarchy with a novel hierarchy of weighted elliptic estimates of length ℓ+1.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Gajic, Gajic0000-0002-8194-7145
Additional Information:Attribution 4.0 International (CC BY 4.0). The second author (S.A.) acknowledges support through the NSERC grant 502581 and the Ontario Early Researcher Award.
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)502581
Ontario Early Researcher AwardUNSPECIFIED
Record Number:CaltechAUTHORS:20210504-125411084
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108967
Deposited By: Tony Diaz
Deposited On:05 May 2021 18:36
Last Modified:05 May 2021 18:36

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