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- W2764020006 abstract "We consider corrections in the form of $Delta L(R_{ijkl}R^{ijkl})$ to the Einstein-Hilbert Lagrangian. Then we compute the corrections to the Schwarszchild geometry due to the inclusion of this general term to the Lagrangian. We show that $Delta L_3=alpha_{1/3}(R_{ijkl}R^{ijkl})^{1/3}$ gives rise to a constant anomalous acceleration for objects orbiting the Sun onward the Sun. This leads to the conclusion that $alpha_{1/3}=(13.91pm 2.11) times 10^{-26}(frac{1}{text{meters}})^{2/3}$ would have covariantly resolved the Pioneer anomaly if this value of $alpha_{1/3}$ had not contradicted other observations. We notice that the experimental bounds on $Delta L_3$ grows stronger in case we examine the deformation of the space-time geometry around objects lighter than the Sun. We therefore use the high precision measurements around the Earth (LAGEOS and LLR) and obtain a very strong constraint on the corrections in the form of $Delta L(R_{ijkl}R^{ijkl})$ and in particular $Delta L=alpha_n(R_{ijkl}R^{ijkl})^n$. This bound requires $alpha_{1/3}leq6.12times 10^{-29}(frac{1}{text{meters}})^{2/3}$. Therefore it refutes the covariant resolution of the Pioneer anomaly." @default.
- W2764020006 created "2017-10-20" @default.
- W2764020006 creator A5004203282 @default.
- W2764020006 date "2007-08-06" @default.
- W2764020006 modified "2023-09-24" @default.
- W2764020006 title "Resolving Pioneers' anomaly" @default.
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