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arXiv 2004.13492gr-qchep-th
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基于非线性电动力学的宇宙暴胀

Universe Inflation Based on Nonlinear Electrodynamics

S. I. Kruglov

摘要:

提出了一种新的具有量纲参数$β$和$γ$的非线性电动力学模型。研究了因果性和统一性原则。我们证明了在电荷原点处电场的奇异性是不存在的,中心处电场的最大值是$E(0)=1/\sqrtβ$。在我们的模型中,对偶对称性被打破。对库仑定律的修正为$r\rightarrow\infty$,其数量级为${\cal O}(r^{-4})$。引力场和宇宙膨胀的来源是电磁场。人们认为宇宙充满了随机的磁场。我们证明,宇宙膨胀后,宇宙减速接近闵可夫斯基时空。不存在里奇标量、里奇张量平方和克雷奇曼标量的奇点。我们计算出声音的声速。谱指数,张量标量比,和运行的谱指数,这大致符合PLANK和WMAP数据,进行了评估。

英文摘要:

A new model of nonlinear electrodynamics with dimensional parameters $β$ and $γ$ is proposed. The principles of causality and unitarity are studied. We show that a singularity of the electric field at the origin of charges is absent and the maximum of the electric field in the center is $E(0)=1/\sqrtβ$. The dual symmetry is broken in our model. Corrections to the Coulomb law as $r\rightarrow\infty$ are in the order of ${\cal O}(r^{-4})$. The source of the gravitation field and inflation of the universe is electromagnetic fields. It is supposed that the universe is filled by stochastic magnetic fields. We demonstrate that after the universe inflation the universe decelerates approaching the Minkowski spacetime. The singularities of the Ricci scalar, the Ricci tensor squared and the Kretschmann scalar are absent. We calculate the speed of sound. The spectral index, the tensor-to-scalar ratio, and the running of the spectral index, which approximately agree with the PLANK and WMAP data, are evaluated.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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