论文标题
Palatini和公制$ f（r）$ gravity的重力能量伪tensor tensor
Gravitational energy-momentum pseudo-tensor in Palatini and metric $f(R)$ gravity
论文作者
论文摘要
我们在palatini和公制方法中得出了重力能量伪量tensor $τ^μ_ {\phantomμν} $，以$ f（r）$重力。然后，我们获得相关的宇宙引力密度。考虑到平坦的Friedmann-Lema-Robertson-Walker时空，物质和引力的能量密度复合物在公制方法中消失了，但是在Palatini形式主义中，结果并非发生变化。为了物理区分两种方法，此功能可能是相关的。
We derive the gravitational energy-momentum pseudo-tensor $τ^μ_{\phantomμν}$ in both Palatini and metric approaches to $f(R)$ gravity. We then obtain the related cosmological gravitational energy density. Considering a flat Friedmann-Lemaître-Robertson-Walker spacetime, the energy density complex of matter and gravitation vanishes in the metric approach, but results non-vanishing in the Palatini formalism. This feature could be relevant in order to physically discriminate between the two approaches.
