Brane new world
Brane new world
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全新世界
DOI：
10.1103/physrevd.62.043501
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发表时间：
2000
影响因子：
5
通讯作者：
H. Reall
中科院分区：
文献类型：
--
作者：
S. Hawking;T. Hertog;H. Reall
我们研究了一个Randall-Sundrum宇宙学方案，该方案由反德西特空间中的畴壁和强耦合的大N共形场论组成。与暴胀宇宙学中物质场的通常处理方法相比，AdS-CFT对应允许对这种CFT进行完全量子力学的处理。共形异常的CFT提供了一个有效的张力，导致了德西特几何的域壁。这是Starobinsky的四维模型异常驱动的通货膨胀的模拟。在欧几里德环境中研究这个模型，给出了一个自然选择的边界条件。我们使用Hartle-Hawking的“无边界”建议计算引力子相关器，并解析地继续到洛伦兹签名。我们发现，CFT强烈抑制度量扰动，但最大的角度尺度。这是真实的，与德西特几何如何产生无关，即，对于四维爱因斯坦引力也是如此。由于一般物质在小尺度上的行为类似于CFT，因此我们的结果表明，小尺度上的张量扰动远小于所有先前计算的预测，这些计算忽略了物质对张量扰动的影响。
We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti\char21{}de Sitter space with a strongly coupled large N conformal field theory living on the wall. The AdS-CFT correspondence allows a fully quantum mechanical treatment of this CFT, in contrast with the usual treatment of matter fields in inflationary cosmology. The conformal anomaly of the CFT provides an effective tension which leads to a de Sitter geometry for the domain wall. This is the analogue of Starobinsky's four dimensional model of anomaly driven inflation. Studying this model in a Euclidean setting gives a natural choice of boundary conditions at the horizon. We calculate the graviton correlator using the Hartle-Hawking ``no boundary'' proposal and analytically continue to Lorentzian signature. We find that the CFT strongly suppresses metric perturbations on all but the largest angular scales. This is true independently of how the de Sitter geometry arises, i.e., it is also true for four dimensional Einstein gravity. Since generic matter would be expected to behave like a CFT on small scales, our results suggest that tensor perturbations on small scales are far smaller than predicted by all previous calculations, which have neglected the effects of matter on tensor perturbations.
DOI：
10.1017/9781009253161
发表时间：
2023-02
期刊：
--
影响因子：
--
作者：
S. Hawking;G. Ellis
通讯作者：
S. Hawking;G. Ellis