科研之友
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摘要
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 conormal regularity of waves at the Cauchy horizon-which yields the boundedness statement-is a consequence of radial point estimates, which are microlocal manifestations of the blue-shift and red-shift effects. Published by AIP Publishing.
- 出版日期2017-8
