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arXiv 0904.0345astro-ph.CO
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修正引力理论中的加速宇宙

Accelerating Universe in Modified Theories of Gravity

B. C. Paul, P. S. Debnath, S. Ghose

摘要:

本文研究了修正引力理论中的宇宙学,考虑了真空中Einstein-Hilbert作用量下的标量曲率($R$)的多项式函数--拉格朗日密度$f(R)$。修正作用量对应于Robertson-Walker度规,得到的场方程是高度非线性的,而且不够简单,不能得到解析解。因此,我们采用数值方法来研究FRW宇宙的演化。在引力的高阶导数理论中发现了宇宙的许多演化阶段,包括现在的加速阶段。这里得到的宇宙学解是新的和有趣的。我们将修正的引力理论作为一个玩具模型来研究,以探索过去,现在和预测未来的演变。结果表明,本文所分析的所有模型都能再现当前宇宙膨胀的加速阶段。加速相的持续时间取决于引力作用的耦合常数。文中还讨论了耦合参数的物理意义。

英文摘要:

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified action corresponding to a Robertson-Walker metric is highly non-linear and not simple enough to obtain analytic solution. Consequently we adopt a numerical technique to study the evolution of the FRW universe. A number of evolutionary phases of the universe including the present accelerating phase are found to exist in the higher derivative theories of gravity. The cosmological solutions obtained here are new and interesting. We study modified theory of gravity as a toy model to explore the past, the present and predict the future evolution. It is found that all the models analyzed here can reproduce the current accelerating phase of expansion of the universe. The duration of the present accelerating phase is found to depend on the coupling constants of the gravitational action. The physical importance of the coupling parameters those considered in the action are also discussed.

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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