Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes
Abstract
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.
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.Attached Files
Submitted - 2102.11888.pdf
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Additional details
- Eprint ID
- 108967
- Resolver ID
- CaltechAUTHORS:20210504-125411084
- 502581
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Ontario Early Researcher Award
- Created
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2021-05-05Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field