论文标题
霍金能量在不均匀宇宙学中的应用
Applications of the Hawking Energy in Inhomogeneous Cosmology
论文作者
论文摘要
观察者在宇宙学时空中的过去灯酮是与观测直接相关的独特几何结构。在先前已经研究了沿着过去灯酮的切片的一般特性之后，目前的工作沿着这条路径继续，通过提供与LightCone相关的鹰型能量的显式宇宙学应用。首先，可以表明，在所有具有相等面积和平均物质密度的二维非捕获球体中，无剪切物质的分布可最大程度地提高鹰的能量，以达到足够高的密度。其次，为每个基于面积和能量的LightCone切片构建了Robertson-Walker参考切片。第三，在混凝土flrw空间中进行了几个教学示例之后，探索了灯酮的单调性的含义，从而在宇宙流体的密度和状态参数上达到了两个新的界限。
The past lightcone of an observer in a cosmological spacetime is the unique geometric structure directly linked to observations. After general properties of the Hawking energy along slices of the past lightcone have previously been studied, the present work continues along this path by providing explicit cosmological applications of the Hawking energy associated with a lightcone. Firstly, it is shown that amongst all two-dimensional non-trapped spheres with equal area and average matter density, a shear-free matter distribution maximizes the Hawking energy for sufficiently high densities. Secondly, a Robertson-Walker reference slice is constructed for every lightcone slice based on area and energy. Thirdly, after a few pedagogical examples in concrete FLRW spacetimes, the implications of monotonicity of the energy down the lightcone are explored, arriving at two new bounds on the cosmic fluid's density and equation-of-state parameter.
