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arXiv 1509.04474gr-qc
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球瞬子的测地族与宇宙量子产生

Geodesic family of spherical instantons and cosmic quantum creation

Ramon Lapiedra, Juan Antonio Morales-Lladosa

摘要:

对任意球对称度规和测地理想流体源的爱因斯坦场方程,无论是对洛伦兹度规还是对瞬子,都给出了正则的简单形式。这两种度量都是针对Lematre-Tolman-Bondi族和一般的$Λ$-Friedmann-Lematre-Robertson-Walker宇宙的.在后一种情况下(当然也包括瞬子的情况),我们研究我们的宇宙的量子创生概率是否消失。我们发现,根据以前的结果,只有封闭模型可以有一个非零的量子创造的概率。为了得到这个结果,我们求助于一般的假设,这是满足特定的创造情况下考虑Vilenkin。另一方面,福明和特赖恩认为,一个量子可创造的宇宙的能量应该消失。这与上面的结果一致,在上面的结果中,只有封闭的$Λ$ FLRW模型是可定量创建的,而开放的和平坦的模型则不是。这是因为可以看出,这个封闭模型具有消失的能量,而开放模型和极限平坦情况(适当扰动)都具有无穷大的能量。

英文摘要:

The Einstein field equations for any spherically symmetric metric and a geodesic perfect fluid source are cast in a canonical simple form, both for Lorentzian metrics and for instantons. Both kinds of metrics are explicitly written for the Lema{\^ı}tre-Tolman-Bondi family and for a general $Λ$-Friedmann-Lema{\^ı}tre-Robertson-Walker universe. In the latter case (including of course the instanton version) we study whether the probability of quantum creation of our Universe vanishes or not. It is found, in accordance with previous results, that only the closed model can have a nonzero probability for quantum creation. To obtain this result, we resort to general assumptions, which are satisfied in the particular creation case considered by Vilenkin. On the other hand, Fomin and Tryon suggested that the energy of a quantically creatable universe should vanish. This is in accordance with the above result in which only the closed $Λ$FLRW model is quantically creatable while the open and flat models are not. That is so since it can be seen that this closed model has vanishing energy while the open model and the limiting flat case (suitably perturbed) have both infinite energy.

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