The rate of deflection of light in an accelerated frame and a gravitational field

Physics

Scientific paper

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Educational Aids, Fundamental Problems And General Formalism

Scientific paper

We present calculations of the rate of deflection of light per unit central angle φ in a set of stationary frames along the light path in the gravitational field of the sun and in an equivalent (except for curvature) set of accelerated frames in flat spacetime in a study designed to further understanding of the equivalence principle in general relativity. The rate of deflection is emphasized in keeping with the local restriction of the equivalence principle in a metric theory of gravitation. In the sequence of stationary frames it is possible to distinguish the contribution from acceleration with respect to local inertial frames (the equivalence principle) from the total rate of deflection which includes the effect of spacetime curvature. Our results indicate that the deflection rate as a function of central angle can be expressed as dα/dφ=-(m/R)(1+2q)cos3 φ, where m is the geometric mass of the sun, R is the minimum radius at φ=0, and q is a curvature tagging parameter such that with q=0 we have only the effect of acceleration and with q=1 we have the full Schwarzschild curvature.

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