论文标题
量子校正牛顿潜力的牛顿宇宙学
Newtonian cosmology from quantum corrected Newtonian potential
论文作者
论文摘要
我们研究了牛顿潜力中$ \ Mathcal {o}（g^{2}）$的领先经典和量子校正牛顿宇宙学。我们首先从非偏见的动能和无限质量的势能开始得出修改的弗里德曼方程。然后，我们考虑了牛顿的潜力中领先的经典校正项和量子校正项的推导弗里德曼方程，但是，量子校正项太小，因此对物理效果没有贡献。然后，我们通过考虑牛顿电位的校正来研究各种物质的规模因子与通常的比例因子的差异。我们观察到宇宙的演变在较晚的辐射和灰尘情况下相似。与其他案例相比，宇宙常数的情况显示出比例因子的急剧增加。我们还注意到，在辐射的情况下，宇宙可能会反弹，具体取决于领先的经典校正系数的迹象。
We study the Newtonian cosmology taking into account the leading classical and quantum corrections of order $\mathcal{O}(G^{2})$ in the Newtonian potential. We first derive the modified Friedmann equations starting from the non-relativistic conservation of kinetic energy and potential energy for an infinitesimal mass. We then consider the leading classical correction term and the quantum correction term in the Newtonian potential for deriving the Friedmann equation, however, the quantum correction term is too small and hence does not contribute in the physical results. We then investigate the difference in scale factor with the usual scale factor for various matter like radiation, dust and cosmological constant by considering the corrections in the Newtonian potential. We observe that the evolution of the universe is similar for radiation and dust cases at late times. The cosmological constant case shows a steep increase in the scale factor compared to the other cases. We also note that the universe may have a bounce in the case of radiation depending on the sign of the coefficient of the leading classical correction.
