论文标题

Brans-Dicke和Palatini F(R)的太阳系测试 - 理论

Solar System Tests in Brans-Dicke and Palatini f(R)-theories

论文作者

Bonino, Alice, Camera, Stefano, Fatibene, Lorenzo, Orizzonte, Andrea

论文摘要

我们比较了水星在标准一般相对论(GR),Brans-Dicke理论(BD)和Palatini F(R)理论中的预探测测试。我们避免后牛顿(PN)(PN)的近似值,并计算这些理论中的精确进动。我们表明,palatini f(r)之间的众所周知的数学等价性 - 理论和特定的BD理论子集并不能扩展到理论之间真正的物理等效性,因为等效模型仍然可以根据解决方案选择的解决方案来允许对汞的不同不兼容的预测。结果,人们不能使用BD等价来排除Palatini F(R)理论。相反,我们直接讨论帕拉蒂尼F(r) - 理论可以(和特定的模型)很容易通过太阳系测试作为汞的进步。

We compare Mercury's precession test in standard General Relativity (GR), Brans-Dicke theories (BD), and Palatini f(R)-theories. We avoid post Newtonian (PN) approximation and compute exact precession in these theories. We show that the well-known mathematical equivalence between Palatini f(R)-theories and a specific subset of BD theories does not extend to a really physical equivalence among theories since equivalent models still allow different incompatible precession for Mercury depending on the solution one chooses. As a result one cannot use BD equivalence to rule out Palatini f(R)-theories. On the contrary, we directly discuss that Palatini f(R)-theories can (and specific models do) easily pass Solar System tests as Mercury's precession.

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