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Register a new userSolar system constraints on the Dvali-Gabadadze-Porrati braneworld theory of gravity
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A number of proposals have been put forward to account for the observed accelerating expansion of the Universe through modifications of gravity. One specific scenario, Dvali-Gabadadze-Porrati (DGP) gravity, gives rise to a potentially observable anomaly in the solar system: all planets would exhibit a common anomalous precession, dw/dt, in excess of the prediction of General Relativity. We have used the Planetary Ephemeris Program (PEP) along with planetary radar and radio tracking data to set a constraint of |dw/dt| < 0.02 arcseconds per century on the presence of any such common precession. This sensitivity falls short of that needed to detect the estimated universal precession of |dw/dt| = 5e-4 arcseconds per century expected in the DGP scenario. We discuss the fact that ranging data between objects that orbit in a common plane cannot constrain the DGP scenario. It is only through the relative inclinations of the planetary orbital planes that solar system ranging data have sensitivity to the DGP-like effect of universal precession. In addition, we illustrate the importance of performing a numerical evaluation of the sensitivity of the data set and model to any perturbative precession.
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Recently, the Planck collaboration has released the first cosmological papers providing the highest resolution, full sky, maps of the cosmic microwave background (CMB) temperature anisotropies. In this paper we study a phenomenological model which interpolates between the pure $Lambda$CDM model and the Dvali-Gabadadze-Porrati (DGP) braneworld model with an additional parameter $alpha$. Firstly, we calculate the distance information of Planck data which includes the shift parameter $R$, the acoustic scale $l_A$, and the photon decoupling epoch $z_ast$ in different cosmological models and find that this information is almost independent on the input models we use. Then, we compare the constraints on the free parameter $alpha$ of the DGP model from the distance information of Planck and WMAP data and find that the Planck data with high precision do not improve the constraint on $alpha$, but give the higher median value and the better limit on the current matter density fraction $Omega_m$. Then, combining the distance information of Planck measurement, baryon acoustic oscillations (BAO), type Ia supernovae (SNIa) and the prior on the current Hubble constant (HST), we obtain the tight constraint on the parameter $alpha < 0.20$ at $95%$ confidence level, which implies that the flat DGP model has been ruled out by the current cosmological data. Finally, we allow the additional parameter $alpha < 0$ in our calculations and interestingly obtain $alpha=-0.29pm0.20$ ($68%$ C.L.), which means the current data slightly favor the effective equation of state $w_{rm eff}<-1$. More importantly, the tension between constraints on $H_0$ from different observational data has been eased.
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