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arXiv 1206.5341gr-qc
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关于平坦时空引力理论的两个定理

Two Theorems on Flat Space-Time Gravitational Theories

Mario Castagnino, Luis Chimento

摘要:

第一个定理指出,所有平坦时空引力理论必须有一个拉格朗日量,其第一项是4速度$u^i$的齐次(1次)函数,加上$η_{ij}u^i u^j$的泛函。第二个定理指出,所有满足强等价原理的引力理论都有一个第一项为$g_{ij}(x)u^i u^j$加上一个无关项的拉格朗日量。在这两种情况下,理论必须从唯一的变分原理出发。因此,在这种条件下,不可能找到满足强等价原理的平坦时空理论。

英文摘要:

The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-I) function of the 4-velocity $u^i$, plus a functional of $η_{ij}u^i u^j$. The second theorem states that all gravitational theories that satisfy the strong equivalence principle have a Lagrangian with a first term $g_{ij}(x)u^i u^j$ plus an irrelevant term. In both cases the theories must issue from a unique variational principle. Therefore, under this condition it is impossible to find a flat space-time theory that satisfies the strong equivalence principle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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