Global Energy Conservation in Gravitational Lensing

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Gravitational Lensing

Scientific paper

Global properties of energy conservation in gravitational microlensing are discussed. We consider the influence of a gravitating body on the observations done at different locations on a sphere surrounding the source. We show that a mass located outside this sphere only redistributes the photons, so some observers register a larger energy flux, photon count rate etc. at the cost of other observers, but there is no net effect on the whole sphere. A lensing mass located inside the observers' sphere reduces its surface area, and also redshifts photons on average. The redistribution of photons is accompanied by a net decrease of averaged energy flux because of the redshift. However, the total photon count from a bursting source is increased on average as the area of the observers' sphere is reduced.

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