从f（R）-体到膜世界的动力学遗传：曲率动力学约束和f（R）-幺模引力
Dynamical heredity from f(R)-bulk to braneworld: curvature dynamical constraint and f(R)-unimodular gravity
摘要：
最近，Borzou等人（BSSY）将Shiromizu-Maeda-Sasaki（SMS）公式推广到f（R）-bulks。BSSY膜投影方程除了对Einstein膜理论进行SMS修正外，还附加了一个应力张量。如果我们改变这个观点，通过要求几何侧的BSSY张量作为f（R）-膜生成器，就有可能通过使用曲率动力学约束（CDC）来关联f（R）-膜/体理论，这是我们开发的一个概念。由于膜和体是f（R），5/4维标量曲率也起着动力学作用，因此，必须提供高斯方程迹的动力学版本，或CDC。我们还将在一个特定的情况下得到f（R）-幺模引力，形式上与野尻等人（NOO）得到的相同。因此，两个应用程序，考虑宇宙学的情况下，在f（R）-幺模重力与暗辐射校正将提供。
英文摘要：
Recently, Borzou et al. (BSSY) generalized the Shiromizu-Maeda-Sasaki (SMS) formulation to f(R)-bulks. BSSY brane projected equation carries an additional stress tensor, besides SMS correction for Einstein's theory on the brane. If we change this perspective, by requiring BSSY tensor in the geometrical side acting as f(R)-brane generator, it is possible to relate f(R)-brane/bulk theories, by using curvature dynamical constraint (CDC), a concept that we developed. Since that brane and bulk are f(R), 5/4D scalar curvatures also play a dynamical role and, thus, a dynamical version to Gauss equation trace, or CDC, must be offered. We will work yet in a specific case to obtain f(R)-unimodular gravity, formally identical with obtained by Nojiri et al. (NOO). Therefore, two applications which consider cosmological scenarios in f(R)-unimodular gravity with dark radiation correction will be offered.
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