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Radar Signal Delay in the Dvali-Gabadadze-Porrati Gravity

Ioannis Iraklis Haranas
Omiros Ragos
Year: 2012 Pages: 3
In this paper we examine the recently introduced Dvali-Gabadadze-Porrati (DGP) gravity model. We use a space-time metric in which the local gravitation source dominates the metric over the contributions from the cosmological flow. Anticipating ideal possible solar system effects, we derive expressions for the signal time delays in the vicinity of the Sun, and for various ranges of the angle theta of the signal approach. The time contribution due to DGP correction to the metric is found to be proportional to b3/2/c2r0. For r0 equal to 5 Mpc and theta in the range [-Pi/3, Pi/3], delta t is equal to 0.0001233 ps. This delay is extremely small to be measured by today's technology, but it could be probably measurable by future experiments.