Correction of Cosmological Expansion to Angular Deflection of Light and Radar Echo Delay

Physics

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Robertson-Mcvittie, Deviation Of Light, Radar Echo Delay

Scientific paper

The angular deflection of light and radar echo delay are famous results predicted by general relativity. The gravitational lensing problems depend on the deviation of light from its straight line path in its basic equation. Using the Robertson-McVittie spacetime metric, which coincides thoroughly with the Schwarzschild metric in the isotropic coordinate and the FLRW metric for curvature parameter k=0 when M=0, we discuss the correction of cosmological expansion to the angular deviation of light path and the radar echo delay. The deviation terms arising from the expansion of universe are found to be simply -4GM/r_{mathit{min}c2}(H02/2c2r_{mathit{min}}2) for angular deviation and 2H02/3c3(rA3+rB3) for radar echo delay.

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