Journal
ANNALES HENRI POINCARE
Volume 12, Issue 8, Pages 1491-1538Publisher
BIRKHAUSER VERLAG AG
DOI: 10.1007/s00023-011-0110-7
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Funding
- Bodossaki Grant
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This paper contains the second part of a two-part series on the stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. We continue our study of solutions to the linear wave equation square(g)psi = 0 on a suitable globally hyperbolic subset of such a spacetime, arising from regular initial data prescribed on a Cauchy hypersurface Sigma(0) crossing the future event horizon H(+). We here obtain definitive energy and pointwise decay, non-decay and blow-up results. Our estimates hold up to and including the horizon H(+). A hierarchy of conservations laws on degenerate horizons is also derived.
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