arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1506.06458gr-qchep-th
收藏

$f(R)$ -膜上的引力共振

Gravitational resonances on $f(R)$-brane

Hao Yu, Yuan Zhong, Bao-Min Gu, Yu-Xiao Liu

摘要:

本文研究了各种$f(R)$ -膜模型,并将它们的引力共振结构与相应的广义相对论(GR)-膜进行了比较。{从一些已知的GR-膜解出发},我们导出了厚$f(R)$ -膜解,使得度规、标量场和标量势与相应的GR-膜相一致. {We发现对于由单个或多个正则标量场生成的膜,GR-膜和相应的$f(R)$ -膜在引力共振结构上没有明显的区别。然后我们讨论了由K-场生成的膜。在这种情况下,GR-膜和$f(R)$ -膜之间可能存在巨大的差异。

英文摘要:

In this paper, we investigate various $f(R)$-brane models and compare their gravitational resonance structures with the corresponding general relativity (GR)-branes. {Starting from some known GR-brane solutions}, we derive thick $f(R)$-brane solutions such that the metric, scalar field, and scalar potential coincide with those of the corresponding GR-branes. {We find that for branes generated by a single or several canonical scalar fields, there is no obvious distinction between the GR-branes and corresponding $f(R)$-branes in terms of gravitational resonance structure.} Then we discuss the branes generated by K-fields. In this case, there could exist huge differences between GR-branes and $f(R)$-branes.

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。

↑