3 years ago

Decay of solutions of the wave equation in expanding cosmological spacetimes.

João L. Costa, José Natário, Pedro Oliveira

We study the decay of solutions of the wave equation in some expanding cosmological spacetimes, namely flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) models and the cosmological region of the Reissner-Nordstr\"om-de Sitter (RNdS) solution. By introducing a partial energy and using an iteration scheme, we find that, for initial data with finite higher order energies, the decay rate of the time derivative is faster than previously existing estimates. For models undergoing accelerated expansion, our decay rate appears to be (almost) sharp.

Publisher URL: http://arxiv.org/abs/1801.08944

DOI: arXiv:1801.08944v2

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