Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds

Details Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds

1996-12-11

arxiv.org/abs/gr-qc/9612026v1

Phys.Rev. D55 (1997) 7546-7562

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, Latex, 26 figures, uses psfig

Scientific paper

10.1103/PhysRevD.55.7546

Conformally invariant scalar waves in black hole spacetimes which are asymptotically anti-de Sitter are investigated. We consider both the $(2+1)$-dimensional black hole and $(3+1)$-dimensional Schwarzschild-anti-de Sitter spacetime as backgrounds. Analytical and numerical methods show that the waves decay exponentially in the $(2+1)$ dimensional black hole background. However the falloff pattern of the conformal scalar waves in the Schwarzschild-anti-de Sitter background is generally neither exponential nor an inverse power rate, although the approximate falloff of the maximal peak is weakly exponential. We discuss the implications of these results for mass inflation.

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