A class of LQC-inspired models for homogeneous, anisotropic cosmology in higher dimensional early universe

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• 作者：S. Kalyana Rama
• 关键词：Loop quantum cosmology ; Higher dimensional cosmology ; LQC inspired higher dimensional anisotropic cosmology
• 刊名：General Relativity and Gravitation
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：48
• 期：12
• 全文大小：631 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532
• 卷排序：48

文摘

The dynamics of a \((3 + 1)\) dimensional homogeneous anisotropic universe is modified by loop quantum cosmology and, consequently, it has generically a big bounce in the past instead of a big-bang singularity. This modified dynamics can be well described by effective equations of motion. We generalise these effective equations of motion empirically to \((d + 1)\) dimensions. The generalised equations involve two functions and may be considered as a class of LQC-inspired models for \((d + 1)\) dimensional early universe cosmology. As a special case, one can now obtain a universe which has neither a big bang singularity nor a big bounce but approaches asymptotically a ‘Hagedorn like’ phase in the past where its density and volume remain constant. In a few special cases, we also obtain explicit solutions.