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arXiv 1707.01017gr-qcastro-ph.COhep-th
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高阶导数与引力的耦合及其宇宙学意义

Higher order derivative coupling to gravity and its cosmological implications

Yong Cai, Yun-Song Piao

摘要:

我们证明了有效场论中的$R^{(3)}δK$算子对于避免非奇异反弹的不稳定性具有重要意义,其中$R^{(3)}$和$K_{μν}$分别是类空超曲面上的三维Ricci标量和外赋曲率.我们指出,$R^{(3)}δK$的协变拉格朗日量,即,$L_{R^{(3)}δK}$,具有Horndeski理论及其推广中所没有的标量场与引力的二阶导数耦合,但不产生Ostrogradski鬼。我们还讨论了$L_{R^{(3)}δK}$对暴胀情形中原始标量微扰的可能影响。

英文摘要:

We show that the $R^{(3)}δK$ operator in effective field theory is significant for avoiding the instability of nonsingular bounce, where $R^{(3)}$ and $K_{μν}$ are the three-dimensional Ricci scalar and the extrinsic curvature on the spacelike hypersurface, respectively. We point out that the covariant Lagrangian of $R^{(3)}δK$, i.e., $L_{R^{(3)}δK}$, has the second order derivative couplings of scalar field to gravity which do not appear in Horndeski theory or its extensions, but does not bring the Ostrogradski ghost. We also discuss the possible effect of $L_{R^{(3)}δK}$ on the primordial scalar perturbation in inflation scenario.

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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