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arXiv 2005.05183gr-qchep-th
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小说中的宇宙演化--高斯邦尼特引力

Cosmic evolution in novel-Gauss Bonnet Gravity

Gaurav Narain, Hai-Qing Zhang

摘要:

在这篇简短的论文中,我们研究任何非平凡的影响,新的高斯-邦纳引力可能会引起宇宙的宇宙演化在四维时空。我们首先考虑一个通用的Friedmann-Lemaitre-Robertson-Walker(FLRW)度量尊重均匀性和各向同性在任意时空维度$D$。度量取决于两个函数:比例因子和时间间隔。将该度规插入新的Einstein-Gauss-Bonnet(EGB)引力作用量中,进行分部积分,然后取$D\to4$的极限,得到四维时空中尺度因子和时滞的动力学作用量。通过$D-4$因子对高斯-博内耦合的特殊重新标度导致了理论作用中的非平凡贡献。在本文中,我们研究这个行动。我们研究了空宇宙(无物质)中尺度因子的动力学和坍缩行为。由于问题的复杂性,我们研究了高斯-博内耦合的一阶理论,并求解了一阶方程组。我们计算了空宇宙壳层作用量的一阶修正,发现它的符号与首阶部分相反。我们讨论它的后果。

英文摘要:

In this short paper we investigate any non-trivial effect the novel Gauss-Bonnet gravity may give rise in the cosmic evolution of the Universe in four spacetime dimensions. We start by considering a generic Friedmann-Lemaître-Robertson-Walker (FLRW) metric respecting homogeneity and isotropicity in arbitrary space-time dimension $D$. The metric depends on two functions: scale factor and lapse. Plugging this metric in novel Einstein-Gauss-Bonnet (EGB) gravity action, doing an integration by parts and then take the limit of $D\to4$ give us a dynamical action in four spacetime dimensions for scale factor and lapse. The peculiar rescaling of Gauss-Bonnet coupling by factor of $D-4$ results in a non-trivial contribution in the action of the theory. In this paper we study this action. We investigate the dynamics of scale-factor and behavior of lapse in an empty Universe (no matter). Due to complexity of the problem we study the theory to first order in Gauss-Bonnet coupling and solve system of equation to the first order. We compute the first order correction to the on-shell action of the empty Universe and find that its sign is opposite of the leading order part. We discuss it consequences.

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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