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arXiv 0711.1996gr-qc
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Chaobergin气体和理想流体存在下的量子FRW宇宙学解

Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid

P. Pedram, S. Jalalzadeh

摘要:

我们提出了一个Friedmann-Robertson-Walker量子宇宙学模型,在Chaubergin气体和理想流体的存在下,早期和晚期的时间时代。在这项工作中,我们认为完美的流体作为一个有效的潜力和应用舒茨的变分形式主义的Chaubergin气体恢复的时间概念。这就产生了标度因子的薛定谔-惠勒-德威特方程。我们使用本征函数来构造波包,并使用量子力学的多世界解释来研究标度因子的期望值的时间依赖行为。我们发现,与经典的情况相反,在量子水平上的尺度因子的期望值避免奇异性。此外,该模型预测宇宙的膨胀在后期正在加速。

英文摘要:

We present a Friedmann-Robertson-Walker quantum cosmological model in the presence of Chaplygin gas and perfect fluid for early and late time epoches. In this work, we consider perfect fluid as an effective potential and apply Schutz's variational formalism to the Chaplygin gas which recovers the notion of time. These give rise to Schrödinger-Wheeler-DeWitt equation for the scale factor. We use the eigenfunctions in order to construct wave packets and study the time dependent behavior of the expectation value of the scale factor using the many-worlds interpretation of quantum mechanics. We show that contrary to the classical case, the expectation value of the scale factor avoids singularity at quantum level. Moreover, this model predicts that the expansion of Universe is accelerating for the late times.

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