On subextremal Kerr backgrounds, solutions of the scalar wave equation arising from sufficiently regular localized data are uniformly bounded and extend continuously to the Cauchy horizon.
Linear waves in the interior of extremal black holes I
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider solutions to the linear wave equation in the interior region of extremal Reissner-Nordstr\"om black holes. We show that, under suitable assumptions on the initial data, the solutions can be extended continuously beyond the Cauchy horizon and moreover, that their local energy is finite. This result is in contrast with previously established results for subextremal Reissner-Nordstr\"om black holes, where the local energy was shown to generically blow up at the Cauchy horizon.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Boundedness of massless scalar waves on Kerr interior backgrounds
On subextremal Kerr backgrounds, solutions of the scalar wave equation arising from sufficiently regular localized data are uniformly bounded and extend continuously to the Cauchy horizon.