Telling Tails In The Presence Of A Cosmological Constant
arXiv:gr-qc/9611056 · doi:10.1103/PhysRevD.55.7538
Abstract
We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we demonstrate the existence of exponentially decaying tails at late times. Interestingly the l=0 mode asymptotes to a non-zero value, contrasting the asymptotically flat situation. We also compare these results, for l=0, with a numerical integration of the Einstein-Scalar field equations, finding good agreement between the two. Finally, the significance of these results to the study of the Cauchy horizon stability in black hole-de Sitter spacetimes is discussed.
7 pages (including 10 postscript figures), Revtex, uses epsf.tex and twocolumn.sty. Submitted to Physical Review D
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