کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1852552 | 1528908 | 2008 | 4 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Lovelock gravity at the crossroads of Palatini and metric formulations Lovelock gravity at the crossroads of Palatini and metric formulations](/preview/png/1852552.png)
We consider extensions of the Einstein–Hilbert Lagrangian to a general functional of metric and Riemann curvature tensor, L(gμν,Rμαβν)L(gμν,Rμαβν). A given such Lagrangian describes two different theories depending on considering connection and metric (Palatini formulation), or only the metric (metric formulation) as independent dynamical degrees of freedom. Equivalence of the Palatini and metric formulations at the level of equations of motion, which as we will argue is a manifestation of the casuality based on Einstein relativity, is a physical criterion that restricts form of Lagrangians of modified gravity theories. We prove that within the class of modified gravity theories we consider, only the Lovelock gravity satisfies this requirement.
Journal: Physics Letters B - Volume 661, Issues 2–3, 20 March 2008, Pages 158–161