# Analysis of linear waves near the Cauchy horizon of cosmological black holes

@article{Hintz2015AnalysisOL, title={Analysis of linear waves near the Cauchy horizon of cosmological black holes}, author={P. Hintz and A. Vasy}, journal={arXiv: Analysis of PDEs}, year={2015} }

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstrom-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constant along the Cauchy horizon. We obtain our results by modifying the spacetime beyond the Cauchy horizon in a suitable manner, which puts the wave equation into a framework in which a number of standard as well as more recent microlocal regularity and scattering theory results apply. In particular, the… Expand

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