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arXiv 0904.0422gr-qc
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Sáez-Ballester理论的经典和量子宇宙学

Classical and quantum Cosmology of the Sáez-Ballester theory

J. Socorro, M. Sabido, L. Arturo Ureña-López

摘要:

本文研究了Sáez-Ballester理论在平坦FRW宇宙学模型中的推广。经典的精确解的求积很容易得到使用汉密尔顿-雅可比方法。与专业文献中的主张相反,它表明,萨伊兹-巴列斯特理论不能为宇宙学的暗物质问题提供一个现实的解决方案。此外,在爱因斯坦框架下重新解释该理论,可以简化量子化过程,其中标量场可以解释为该理论的物质内容的一部分,在这种方法中,Wheeler-DeWitt方程也在量子区域中找到了精确解。

英文摘要:

We study the generalization of the Sáez-Ballester theory applied to a flat FRW cosmological model. Classical exact solutions up to quadratures are easily obtained using the Hamilton-Jacobi approach. Contrary to claims in the specialized literature, it is shown that the Sáez-Ballester theory cannot provide a realistic solution to the dark matter problem of Cosmology. Furthermore the quantization procedure of the theory can be simplified by reinterpreting the theory in the Einstein frame, where the scalar field can be interpreted as part of the matter content of the theory, in this approach, exact solutions are also found for the Wheeler-DeWitt equation in the quantum regime.

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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