论文标题
共形dilaton重力和5D的扭曲空间
Conformal Dilaton Gravity and Warped Spacetimes in 5D
论文作者
论文摘要
通过编写度量$ g_ {μν} =ω^{\ frac {\ frac {4} {n-2}} {n-2}} \ tilde g_ {μentildeg_ {μν} $，在扭曲的randall-sundrum时空的同型重力中发现了一个确切的时间相关解。这里$ \ tilde g_ {μν} $代表“非物理”时空和$ω$ dilaton场，该场将在同等基础上作为任何可授权的标量场。在五维的扭曲时空的情况下，我们写$ ^{（4）} {\ tilde g_ {μν} = \barΩ ^2 {（4）} \ bar g_ {μν}} \ bar g_ {μν}}} $ cop ynotion可以用来描述不同的notion，并以外的方式来描述范围。共形规范自由。关于黑洞内部的分歧是由地平线上点的反物图解释的。解决方案的免费参数可以以$ \ bar g_ {μν} $为单一的且拓扑规则的方式选择，即使是$ω\ rightarrow 0 $。值得注意的是，可以在一般尺寸$ n = 4,5 $中写入公制组件和Dilaton字段的5D和4D有效场方程。猜想是，在地平线附近的量化程序中，单位性问题只有在大尺寸范围内出现。有效理论中的减法点只能在大量中出现在紫外线中，因为使用较大的额外尺寸会导致基本的普朗克量表与electroweak量表相当。
An exact time-dependent solution of a black hole is found in conformally invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric $g_{μν}=ω^{\frac{4}{n-2}}\tilde g_{μν}$. Here $\tilde g_{μν}$ represents the "un-physical" spacetime and $ω$ the dilaton field, which will be treated on equal footing as any renormalizable scalar field. In the case of a five-dimensional warped spacetime, we write $ ^{(4)}{\tilde g_{μν}}=\barω^2{ ^{(4)}\bar g_{μν}}$ Both $ω$ and $\barω$ can be used to describe the different notion the in-going and outside observers have of the Hawking radiation by using different conformal gauge freedom. The disagreement about the interior of the black hole is explained by the antipodal map of points on the horizon. The free parameters of the solution can be chosen in such a way that $\bar g_{μν}$ is singular-free and topologically regular, even for $ω\rightarrow 0$. It is remarkable that the 5D and 4D effective field equations for the metric components and dilaton fields can be written in general dimension $ n= 4,5$. It is conjectured that, in context of quantization procedures in the vicinity of the horizon, unitarity problems only occur in the bulk at large extra-dimension scale. The subtraction point in an effective theory will be in the UV only in the bulk, because the use of a large extra dimension results in a fundamental Planck scale comparable with the electroweak scale.
