arXiv 1006.45732010-06hep-thastro-ph.COgr-qc

诱导f（R）引力的有效宇宙学方程

Effective cosmological equations of induced f(R) gravity

Pantelis S. Apostolopoulos, Nikolaos Brouzakis, Nikolaos Tetradis

备注：: 18 pages, no figures (uses JCAP style/class files); (v2),(v3) new references are added, minor corrections and title changed to match published version in JCAP
发表信息：: JCAP 1008:032,2010
DOI：: 10.1088/1475-7516/2010/08/032

摘要：

我们扩展了广义膜宇宙学的研究，允许一个$f(\tilde{\cal R})$重力项的膜，与$\tilde{\cal R}$的曲率标量来自诱导度规。我们还包括膜上和五维体中的任意物质成分。在低能量下，体对膜演化的影响可以通过有效四维场方程中的海市蜃楼分量（称为广义暗辐射）来描述。利用协变形式主义，我们得到这些方程的精确形式。我们还导出了一个包含膜物质和广义暗辐射的有效守恒方程。在低能量下，耦合的膜-体系统具有纯粹的四维描述。形式主义的应用包括推广的Starobinsky模型和Dvali-Gabadadze-Porrati宇宙学。

英文摘要：

We expand the study of generalized brane cosmologies by allowing for an $f(\tilde{\cal R})$ gravity term on the brane, with $\tilde{\cal R}$ the curvature scalar derived from the induced metric. We also include arbitrary matter components on the brane and in the five-dimensional bulk. At low energies, the effect of the bulk on the brane evolution can be described through a mirage component, termed generalized dark radiation, in the effective four-dimensional field equations. Using the covariant formalism, we derive the exact form of these equations. We also derive an effective conservation equation involving the brane matter and the generalized dark radiation. At low energies the coupled brane-bulk system has a purely four-dimensional description. The applications of the formalism include generalizations of the Starobinsky model and the Dvali-Gabadadze-Porrati cosmology.

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