标量矢量张量Brans Dicke引力对各向异性Bianchi I宇宙学的正则量子化
Canonical quantization of anisotropic Bianchi I cosmology from scalar vector tensor Brans Dicke gravity
摘要：
应用广义标量-矢量-张量Brans Dicke引力模型研究了各向异性Bianchi I宇宙模型的正则量子化.对于各向异性谐振子势，我们证明了相应的Wheeler-de-Witt波泛函的系统描述的埃尔米特多项式。我们得到了宇宙系统ADM质量的一个量子化条件，它随厄米多项式的量子数的增加而增加。我们的计算表明，宇宙的暴胀膨胀可以起源于大爆炸，由于不确定原理，没有裸奇点。
英文摘要：
We applied a generalized scalar-vector-tensor Brans Dicke gravity model to study canonical quantization of an anisotropic Bianchi I cosmological model. Regarding an anisotropic Harmonic Oscillator potential we show that the corresponding Wheeler de Witt wave functional of the system is described by Hermit polynomials. We obtained a quantization condition on the ADM mass of the cosmological system which raises versus the quantum numbers of the Hermit polynomials. Our calculations show that the inflationary expansion of the universe can be originate from the big bang with no naked singularity due to the uncertainty principle.
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