Radar Signal Delay in the Dvali-Gabadadze-Porrati Gravity in the Vicinity of the Sun

TL;DR

This paper investigates the effects of Dvali-Gabadadze-Porrati gravity on signal time delays near the Sun, deriving theoretical expressions and estimating their magnitudes, which are currently too small but potentially measurable in the future.

Contribution

It provides the first detailed calculation of solar system signal delays within the Dvali-Gabadadze-Porrati gravity model, highlighting their tiny magnitude and future detectability.

Findings

Time delay near the Sun is approximately 0.0001233 ps for certain angles.

Current technology cannot measure these delays, but future experiments might.

The model predicts negligible effects compared to General Relativity in the solar system.

Abstract

In this paper we examine the recently introduced Dvali Gabadadze Porrati gravity model. We use the 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 angles of the signal approach. We use the corresponding numerical value for the parameter r0 to be equal to 5 Mpc. In the vicinity of the Sun and with theta in the range -Pi/3 less than equal to theta less than equal to Pi/3, Deltat is equal to 0.0001233 ps. A time signal delay extremely small to measure by todays technology could be probably measurable in the future years to come, by various future experiments.