Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/14507
Author(s): | Costa, J. L. Franzen, A. T. |
Date: | 2017 |
Title: | Bounded energy waves on the black hole interior of Reissner–Nordström–de Sitter |
Volume: | 18 |
Number: | 10 |
Pages: | 3371 - 3398 |
ISSN: | 1424-0637 |
DOI (Digital Object Identifier): | 10.1007/s00023-017-0592-z |
Abstract: | Motivated by the strong cosmic censorship conjecture, in the presence of a cosmological constant, we consider solutions of the scalar wave equation \Box _g\phi =0 on fixed subextremal Reissner–Nordström–de Sitter backgrounds ({\mathcal M}, g), without imposing symmetry assumptions on \phi . We provide a sufficient condition, in terms of surface gravities and a parameter for an exponential decaying Price Law, for a local energy of the waves to remain bounded up to the Cauchy horizon. The energy we consider controls, in particular, regular transverse derivatives at the Cauchy horizon; this allows us to extend the solutions with bounded energy, to the Cauchy horizon, as functions in C^0\cap H^1_\mathrm{loc}. Our results correspond to another manifestation of the potential breakdown of strong cosmic censorship in the positive cosmological constant setting. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
RN_deSitterRevised4.pdf | Pré-print | 1,45 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.