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arXiv 1010.5355astro-ph.COgr-qc
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宇宙学不变量在早期宇宙中的观测探索

On A Cosmological Invariant as an Observational Probe in the Early Universe

Debashis Gangopadhyay, Somnath Mukherjee

摘要:

k-本质标量场模型通常被认为具有${\mathcal L}=-V(ϕ)F(X)$形式的拉格朗日量,其中$F$是$X=\nabla_μϕ\nabla^μϕ$的某个一般函数。在某些条件下,这个拉格朗日量在早期宇宙的背景下可以采取振荡器的形式,其频率依赖于时间。在宇宙学的情况下,依赖于时间的振荡器的Ermakov不变量,然后导致一个不变的二次形式,涉及哈勃参数和对数的比例因子。原则上,这个不变量可以导致对早期宇宙的进一步观测探测。此外,如果这样一个不变量可以被观测证实,那么暗能量的存在也将被间接证实。

英文摘要:

k-essence scalar field models are usually taken to have lagrangians of the form ${\mathcal L}=-V(ϕ)F(X)$ with $F$ some general function of $X=\nabla_μϕ\nabla^μϕ$. Under certain conditions this lagrangian in the context of the early universe can take the form of that of an oscillator with time dependent frequency. The Ermakov invariant for a time dependent oscillator in a cosmological scenario then leads to an invariant quadratic form involving the Hubble parameter and the logarithm of the scale factor. In principle, this invariant can lead to further observational probes for the early universe. Moreover, if such an invariant can be observationally verified then the presence of dark energy will also be indirectly confirmed.

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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