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arXiv 2006.05735gr-qchep-th
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高维anti-de Sitter时空的非线性扰动

Nonlinear perturbations of higher dimensional anti-de Sitter spacetime

Dhanya S. Menon, Vardarajan Suneeta

摘要:

我们研究了真空爱因斯坦方程的非线性引力扰动,在$(n+2)$维中用$Λ<0$,用$n>2$,推广了以前对$n=2$的研究。我们遵循Ishibashi,Kodama和Seto的形式,将度量扰动分解为张量,矢量和标量扇区,并简化了爱因斯坦方程。张量扰动是高维空间的新特征。我们使度量扰动渐近反德西特采用合适的规范选择每个部门。最后,我们分析了共振结构的扰动方程在第二阶的五维情况下,通过在线性水平上的单模张量型扰动的部分研究。对于我们研究的情况,共振项在二阶消失。

英文摘要:

We study nonlinear gravitational perturbations of vacuum Einstein equations, with $Λ<0$ in $(n+2)$ dimensions, with $n>2$, generalizing previous studies for $n=2$. We follow the formalism by Ishibashi, Kodama and Seto to decompose the metric perturbations into tensor, vector and scalar sectors, and simplify the Einstein equations. The tensor perturbations are the new feature of higher dimensions. We render the metric perturbations asymptotically anti-de Sitter by employing a suitable gauge choice for each of the sectors. Finally, we analyze the resonant structure of the perturbed equations at second order for the five dimensional case, by a partial study of single mode tensor-type perturbations at the linear level. For the cases we studied, resonant terms vanish at second order.

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。

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