First-order formalism treatment of R+R2 gravity.
First-order formalism treatment of R+R2 gravity.
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R R2 引力的一阶形式主义处理。
DOI：
10.1103/physrevd.35.467
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
Bahman Shahid
中科院分区：
文献类型：
--
作者：
Bahman Shahid
我们证明，通过一阶形式主义制定的 R+R/sup 2/ 引力场方程与通过二阶形式主义导出的场方程不同。这些新的场方程产生了一组新的连接系数，这些系数是共形度量的，并且通常不完全度量兼容。这种共形度量理论的独特之处在于，共形规范场很容易根据能量动量张量及其导数的迹来识别。这种识别导致了一组新的微分方程，可以解释为宇宙学量的演化方程。讨论了这些方程在早期宇宙中的重要性。
We show that the field equations of R+R/sup 2/ gravity formulated via the first-order formalism are different from those derived in the second-order formalism. These new field equations lead to a new set of connection coefficients that are conformally metric and in general not fully metric compatible. This conformally metric theory is unique in the sense that the conformal gauge field is readily identifiable in terms of the trace of the energy-momentum tensor and its derivatives. This identification leads to a new set of differential equations that can be interpreted as evolution equations for cosmological quantities. The importance of these equations in the early Universe is discussed.