论文标题
在黑洞地平线附近的紧急De Sitter宇宙学
Emergent de Sitter Cosmology Near Black Hole Horizon
论文作者
论文摘要
我们为在brane-world方案中呈指数扩展的宇宙的有效模型。该设置由一个5D黑洞和一个靠近黑洞地平线的黑洞组成。如果Brane获得了我们从稳定性参数中推导的特定配置，则在brane上的黑洞地平线外的诱导度量成为静态坐标。在研究爱因斯坦方程时，我们在此水平上发现了勃雷的有效重力，并得出了4D重力常数。考虑到相应的FLRW坐标中的均质和各向同性流体，我们发现Brane以下的散装流体密度与Brane具有相同的状态方程式，因此有助于Friedmann方程中的能量密度，因此很晚可能归因于暗物质。在研究设置的稳定性时，我们观察到，在棕褐色上存在物质的情况下，布雷恩的保姆长度稳定，其长度符合由于物质而定性的宇宙施瓦兹柴尔德半径。我们简要讨论可以绑定保姆寿命的效果。特别是，该模型可以为当前DE Sitter阶段提供与跨planckian审查猜想的寿命兼容。
We propose an effective model for an exponentially expanding universe in the brane-world scenario. The setup consists of a 5D black hole and a brane close to the black hole horizon. In case the brane acquires a specific configuration, which we deduce from stability arguments, the induced metric outside the black hole horizon on the brane becomes de Sitter in static coordinates. Studying the Einstein equations perturbatively we find the effective gravity on the brane at this level and derive the 4D gravitational constant. Considering a homogeneous and isotropic fluid in the corresponding FLRW coordinates we find that the bulk fluid density below the brane, which has the same equation of state as the fluid on the brane, contributes to the energy density in the Friedmann equation and therefore in late time may be attributed to dark matter. Studying the stability of the setup we observe that the brane becomes stabilized, in the presence of matter on the brane, with a de Sitter length that is qualitatively of the order of Schwarzschild radius of the universe due to matter. We briefly discuss effects that can bound the de Sitter lifetime. In particular, this model can provide a lifetime compatible with Trans-Planckian Censorship conjecture for the current de Sitter phase.
