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arXiv 0905.4001gr-qcastro-ph.GA
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引力张量-矢量-标量理论中的优选标架参数及其推广

Preferred frame parameters in the tensor-vector-scalar theory of gravity and its generalization

Eva Sagi

摘要:

引力的张量-矢量-标量理论是作为修正动力学范式的相对论实现而设计的,在银河和宇宙尺度上,它作为暗物质的替代品表现得相当不错。然而,它在太阳系中的表现,体现在后牛顿形式主义,尚未得到充分的研究。玉木最近试图计算TeVeS的首选框架参数,但忽略了标量场的宇宙学值,因此得出结论,牛顿势必须是静态的,以便与矢量方程保持一致。我们表明,当考虑标量场的宇宙学值时,牛顿势没有约束;然而,标量场的宇宙学值与矢量场耦合常数K紧密相连,阻止前者如其运动方程所预测的那样发展。然后,我们进一步研究了广义TeVeS的后牛顿极限,并证明了它的β,γ和γ参数与GR相同,而太阳系对优选框架参数α_1和α_2的约束可以在标量场和矢量场耦合参数的较小值范围内得到满足,和宇宙学的标量场的值与现有模型框架内的演化一致。

英文摘要:

The Tensor-Vector-Scalar theory of gravity, which was designed as a relativistic implementation to the modified dynamics paradigm, has fared quite well as an alternative to dark matter, on both galactic and cosmological scales. However, its performance in the solar system, as embodied in the post-Newtonian formalism, has not yet been fully investigated. Tamaki has recently attempted to calculate the preferred frame parameters for TeVeS, but ignored the cosmological value of the scalar field, thus concluding that the Newtonian potential must be static in order to be consistent with the vector equation. We show that when the cosmological value of the scalar field is taken into account, there is no constraint on the Newtonian potential; however, the cosmological value of the scalar field is tightly linked to the vector field coupling constant K, preventing the former from evolving as predicted by its equation of motion. We then proceed to investigate the post-Newtonian limit of a generalized version of TeVeS, with Æther type vector action, and show that its β,γand ξparameters are as in GR, while solar system constraints on the preferred frame parameters α_1 and α_2 can be satisfied within a modest range of small values of the scalar and vector fields coupling parameters, and for values of the cosmological scalar field consistent with evolution within the framework of existing models.

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