Journal
ANNALES HENRI POINCARE
Volume 18, Issue 10, Pages 3371-3398Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00023-017-0592-z
Keywords
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Funding
- Institute Henri Poncaire
- FCT/Portugal [UID/MAT/04459/2013]
- GPSEinstein [PTDC/MAT-ANA/1275/2014]
- Fundação para a Ciência e a Tecnologia [UID/MAT/04459/2013, EXCL/MAT-GEO/0222/2012] Funding Source: FCT
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Motivated by the strong cosmic censorship conjecture, in the presence of a cosmological constant, we consider solutions of the scalar wave equation on fixed subextremal Reissner-Nordstrom-de Sitter backgrounds , without imposing symmetry assumptions on . 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 . Our results correspond to another manifestation of the potential breakdown of strong cosmic censorship in the positive cosmological constant setting.
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