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arXiv 1602.01319gr-qchep-th
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Born-Infeld型模型的经典和量子宇宙学

Classical and quantum cosmology of Born-Infeld type models

Alexander Kamenshchik, Claus Kiefer, Nick Kwidzinski

摘要:

本文讨论了经典宇宙学和量子宇宙学中的玻恩-因费尔德型场(快子场)。我们首先部分回顾和部分扩展的经典解决方案的讨论,并特别关注奇点的发生。对于量子化,我们采用几何动力学。在常势情况下,我们讨论了Wheeler-DeWitt量子化和约化量子化。我们能够给出各种解并讨论它们的渐近性。对于一般势的情况,我们将Wheeler-DeWitt方程转化为一个差分方程。这种差分方程以前在黑洞的量子化中被发现。我们给出了明确的结果的情况下,常数的潜力和反平方潜力,并指出所拥有的差分方程的解决方案的特殊功能。

英文摘要:

We discuss Born-Infeld type fields (tachyon fields) in classical and quantum cosmology. We first partly review and partly extend the discussion of the classical solutions and focus in particular on the occurrence of singularities. For quantization, we employ geometrodynamics. In the case of constant potential, we discuss both Wheeler-DeWitt quantization and reduced quantization. We are able to give various solutions and discuss their asymptotics. For the case of general potential, we transform the Wheeler-DeWitt equation to a form where it leads to a difference equation. Such a difference equation was previously found in the quantization of black holes. We give explicit results for the cases of constant potential and inverse squared potential and point out special features possessed by solutions of the difference equation.

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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