arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0812.1666gr-qc
收藏

具有含时额外维的宇宙膜世界的体时空

Bulk spacetimes for cosmological braneworlds with a time--dependent extra dimension

Suman Ghosh, Sayan Kar

摘要:

我们探讨了在5维空间中构造体时空的可能性,对于在3-膜上具有空间平坦的Friedmann-Robertson-Walker(FRW)线元和具有依赖于时间的额外维度的翘曲膜世界模型。在这个方向上,我们的第一步涉及到在这样一个散装线元素时,能源条件的状态。我们检查这些条件,通过分析相关的不等式,为特定的功能形式(选择以满足某些理想的功能)的翘曲因子,宇宙学的比例因子和额外的维的比例因子。随后,我们的目标是获得不同类型的散装物质源的解决方案。首先,我们一般分析的非奇异Randall-Sundrum型体模型的解空间的指数翘曲因子和选定的状态方程。此后,我们专注于三个具体的体源-普通的标量场,Brans-Dicke标量和标量场。在每种情况下,我们都能够求解场方程并获得理想的解,我们再次检查能量条件的可行性。我们还展示了如何使用结条件将膜置于体中。使用标准方法,在我们的解决方案中出现的散装奇点的决议的问题,也简要介绍。总之,我们能够证明,确实有可能为具有随时间变化的额外维度和满足能量条件的大块物质的扭曲宇宙膜世界构建可行的大块时空。

英文摘要:

We explore the possibilities of constructing bulk spacetimes in five dimensions for warped braneworld models with a spatially flat Friedmann-Robertson-Walker (FRW) line element on the 3-brane and with a time-dependent extra dimension. Our first step in this direction involves looking at the status of energy conditions when such a bulk line element is assumed. We check these conditions by analysing the relevant inequalities, for specific functional forms (chosen to satisfy certain desirable features) of the warp factor, the cosmological scale factor and the extra-dimensional scale factor. Subsequently, we aim at obtaining solutions with different types of bulk matter sources. We begin with a general analysis of the solution space of non-singular Randall-Sundrum type bulk models with an exponential warp factor and a chosen equation of state. Thereafter, we focus on three specific bulk sources -- the ordinary scalar field, the Brans-Dicke scalar and the dilaton. In each case, we are able to solve the field equations and obtain desirable solutions for which, we once again check the viability of the energy conditions. We also show how one can place branes in the bulk using the junction conditions. The issue of resolution of the bulk singularities which appear in our solutions, using standard methods, is also presented briefly. In summary, we are able to demonstrate, that it is indeed possible to construct viable bulk spacetimes for warped cosmological braneworlds with a time-varying extra dimension and with bulk matter satisfying the energy conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑