论文标题
通货膨胀宇宙学 - 一种使用非线性电动力学的新方法
Inflationary cosmology- A new approach using Non-linear electrodynamics
论文作者
论文摘要
我们探索了一种新型的非线性电动力学领域（NLED），该领域是重力的来源，可以在通货膨胀时代加速宇宙。我们提出了一种新型的NLED Lagrangian，该lagrangian由两个游客$α$和$β$进行了负责。我们通过要求Sound Wave $ C_S^2> 0 $和$ C_S \ le 1 $的速度（$ c_s = \ frac {dp} {dρ} $）来研究该模型的经典稳定性和因果关系方面。 1 $。对减速参数的研究（$ q = \ frac {1} {2}（1 +3Ω）$，$ω= p/ρ$是状态参数的方程式表明$ q <0 $（即$ q <0 $（即$ω<-1/3 $ and $ \ ddot usise $ ddot usight $ quientes $ 0.13 $。在通货膨胀期间，能量密度$ρ_b$最大，由$ρ_b^{max} = 0.65/β$给出，对应于$α= 0.3 $。触发通货膨胀所需的磁场被发现为$ b（= b_ {max}）\ simeq \ sqrt {\ frac {\ frac {0.4ρ_b^{max}}} {0.65}} = 4 \ times 10^{51} {51}〜{51}〜{\ rm gauss} = 10^{64}〜{\ rm gev}^4 $）是通货膨胀期间宇宙的能量密度。该模型还预测了e-fold数字$ n = 71 $，这与实验结果一致。
We explore a new kind of field of nonlinear electrodynamics(NLED) which acts as a source of gravity and can accelerate the universe during the inflationary era. We propose a new type of NLED lagrangian which is charecterized by two paremetrs $α$ and $β$. We investigate the classical stability and causality aspects of this model by demanding that the speed ($C_s = \frac{dP}{dρ}$) of the sound wave $C_s^2 > 0$ and $C_s \le 1$ and find that $0 < C_s^2 < 1$ corresponds to $0.25 \le α\le 0.4$ and $0.6 \le βB^2 \le 1$. A study of the deceleration parameter($q = \frac{1}{2}(1 + 3 ω)$, $ω= P/ρ$ being the equation of state parameter) suggests that the value $q < 0$ (i.e. $ω< -1/3$ and $\ddot{a}(t) > 0$ ( the accelerating universe)) requires $βB^2 \ge 0.13$. During inflation, the energy density $ρ_B$ is found to be maximum and is given by $ρ_B^{max} = 0.65/β$ corresponding to $α= 0.3$. The magnetic field necessary to trigger the inflation, is found to be $B (= B_{max}) \simeq \sqrt{\frac{0.4 ρ_B^{max}}{0.65}} = 4 \times 10^{51}~{\rm Gauss}$, where $ρ_{B}^{max}( =10^{64}~{\rm GeV}^4 $) is the energy density of the universe during inflation. The model also predict the e-fold number $N = 71$, which agrees with the experimental result.
