论文标题

通过奇异性的重力场的通货膨胀替代

Inflation Alternative via the Gravitational Field of a Singularity

论文作者

Zlotnikov, Michael

论文摘要

我们探讨了以下情况:可观察到的宇宙从负质量环奇异性附近出现,并且宇宙的所有内容都以相同的群体速度在接近地理轨迹沿奇异性旋转轴的光速上的相同速度行进。在适当的坐标参数化并在轨迹上进行了评估,我们发现该轨迹附近的度量张量显示了一个结构尺度因子$ a(η)$,具有收缩和随后解决地平线问题的扩展特性。然后,我们引入了沿轨迹的引力辐射的静态流动(相对于奇异性的质量尺度),以建模以均匀的辐射为主的宇宙。用物理动机的度量扰动求解爱因斯坦场方程,然后发现有效的保形比例因子确实渐近地增长了与常规辐射统治宇宙中预期的功率定律相同的功率定律。

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory along the axis of rotation of the singularity. In appropriate coordinate parametrization and evaluated on the trajectory, we find that the metric tensor in the vicinity of the trajectory exhibits a conformal scale factor $a(η)$ with contraction and subsequent expansion properties that solve the horizon problem. We then introduce a static flow of gravitating radiation along the trajectory (perturbatively with respect to the mass scale of the singularity) to model a homogeneous radiation dominated universe. Solving the Einstein field equations with a physically motivated ansatz of metric perturbation then reveals that the effective conformal scale factor indeed grows asymptotically with the same power law as expected in a conventional radiation dominated universe.

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