Spherical scalar waves and gravity - red shift and backscattering

Abstract

This article investigates the interaction of a spherically symmetric massless scalar field with a strong gravitational field. It focuses on the propagation of waves in regions outside any horizons. The two factors acting on the waves can be identified as a redshift and a backscattering. The influence of backscattering on the intensity of the outgoing radiation is studied and rigorous quantitative upper bounds obtained. These show that the total flux may be decreased if the sources are placed in a region adjoining an apparent horizon. Backscattering can be neglected in the case $2m_0/R<<1$, that is when the emitter is located at a distance from a black hole much larger than the Schwarzschild radius. This backscattering may have noticeable astrophysical consequences.

Revtex, 16 pages, 3 figures

References in corpus (2)

• The `quiescent' black hole in M87
• Selfgravitating nonlinear scalar fields

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• Waves in Schwarzschild spacetimes: How strong can imprints of the spacetime curvature be
• A new approach to electromagnetic wave tails on a curved spacetime
• Can Schwarzschildean gravitational fields suppress gravitational waves?
• Diffusion of the scalar field energy due to the backscattering off Schwarzschild geometry
• Schwarzschild horizon and the gravitational redshift formula
• Backscattering: an overlooked effect of General Relativity?