Gravitational amplification of light by a nonstatic and thick lens

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Gravitational Lenses, Light Amplifiers, Red Shift, Schwarzschild Metric, Einstein Equations, Hubble Constant, Scalars

Scientific paper

The specific effects of a non-static and thick gravitational lens on the amplification of light are studied in the frame of a two-step vacuole model (which is made up of a high density Friedmann solution, separated from the background universe by an empty Schwarzschild solution). The author solves here the Optical Scalar Equation (Sachs, 1961) for a radial light beam, to a much higher order than the previous computations based on the thin lens and bounded and stationary mass hypotheses. A substantial correction with respect to the classical formula is obtained for large amplification, a situation which may actually be reached for astrophysical lenses like very rich clusters or superclusters of galaxies at relativistic distances.

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