论文标题

宇宙学具有相对性不同的物理常数

Cosmology with relativistically varying physical constants

论文作者

Gupta, Rajendra P.

论文摘要

我们已经表明,变化的物理常数模型与最近发表的变分方法一致,其中对爱因斯坦方程进行了修改,以包括光C的速度,重力常数G和宇宙学常数使用Einstein-Hilbert Action的变化。满足当地保护法和签约的比安奇身份所产生的一般约束提供了选择常数变化形式的自由,以及它们的变化如何相关。当我们选择dg/gdt = 3dc/cdt时,c = c_0.exp [(a^α-1)],g = g_0.exp [3(a^α-1)]和λ=λ_0.exp.exp[(a^(a^( - α)-1)],在a是尺度因子和α= 1.8的情况下,我们可以在该数据= 1.8中显示型号。比λCDM模型更好; (b)确定宇宙微波背景温度各向异性的功率谱的第一个峰值,其多极值为L = 217.3; (c)将宇宙的年龄计算为14.1 GYR; (d)发现BAO声学量表为145.2 MPC。这些数字不到使用λCDM模型得出的值的3%。出乎意料的是,我们发现在具有显着的负曲率并且其扩展的速度比λCDM模型更快的速度加速的宇宙中,深色能量密度为负。

We have shown that the varying physical constant model is consistent with the recently published variational approach wherein Einstein equations are modified to include the variation of the speed of light c, gravitational constant G and cosmological constant Λ using the Einstein-Hilbert action. The general constraint resulting from satisfying the local conservation laws and contracted Bianchi identities provides the freedom to choose the form of the variation of the constants as well as how their variations are related. When we choose dG/Gdt=3dc/cdt, c=c_0.exp[(a^α-1)], G=G_0.exp[3(a^α-1)] and Λ=Λ_0.exp[(a^(-α)-1)], where a is the scale factor and α=1.8, we are able to show that the resulting model: (a) fits the supernovae 1a observational data marginally better than the ΛCDM model; (b) determines the first peak in the power spectrum of the cosmic microwave background temperature anisotropies at multipole value of l=217.3; (c) calculates the age of the universe as 14.1 Gyr; and (d) finds the BAO acoustic scale to be 145.2 Mpc. These numbers are within less than 3% of the values derived using the ΛCDM model. Surprisingly we find that the dark-energy density is negative in a universe that has significant negative curvature and whose expansion is accelerating at a faster rate than predicted by the ΛCDM model.

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