Proving the conservation of surface brightness during the strong and weak lensing of light by an isothermal sphere

Details Proving the conservation of surface brightness during the strong and weak lensing of light by an isothermal sphere Proving the conservation of surface brightness during the strong and weak lensing of light by an isothermal sphere

2004-09-27

arxiv.org/abs/astro-ph/0409655v3

Astronomy and Astrophysics

Astrophysics

Research note (for pedagogical purpose)

Scientific paper

An analytical proof of the conservation of surface brightness during the strong and weak lensing of light by a singular isothermal sphere is provided. It is shown that the movement of asymptotic rays provide room for precisely the extra solid angle claimed by the magnification of the centrally passing rays. Previous claim of a violation of this conservation law, leading to a problem over the COBE all sky CMB flux, is hereby withdrawn.

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