Optical appearance of isotropically radiating sphere in the Schwarzschild-de Sitter spacetime

Mathematics – Logic

Scientific paper

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Scientific paper

We consider appearance of isotropically radiating sources located at a sphere at the static radius of the Schwarzschild-de Sitter spacetimes to static observers in vicinity of the black hole horizon and the cosmological horizon and to radially moving observers. We expect these observers to follow geodesics starting from the static radius. It is shown that the observed flux diverges at both the horizons for both classes of observers. Nevertheless the frequency shift remains finite at the horizons for the radially moving observers.

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