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arXiv 1509.09233gr-qc
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统一引力场和精粹场宇宙模型的一类精确解

Class of exact solutions for a cosmological model of unified gravitational and quintessence fields

Felipe A. Asenjo, Sergio A. Hojman

摘要:

本文提出了一种求解各向同性均匀Friedmann-Robertson-Walker宇宙中存在经典标量场的爱因斯坦方程的新方法。它提供了一种方法来获得这些方程的简单精确解。这个解唯一地确定了经典势,它不同于以前用来研究暴胀的解。它依赖于几何和暗物质的统一,通过定义宇宙的比例因子和精髓场之间的函数关系来实现。对于正曲率宇宙,该解产生宇宙的永久加速膨胀率,而哈勃参数突然增加,达到最大值,然后减小。讨论了这个宇宙学解的行为,并展示了它的主要特征。形式主义扩展到包括物质和辐射。

英文摘要:

A new approach to tackle Einstein equations for an isotropic and homogeneous Friedmann--Robertson--Walker Universe in the presence of a quintessence scalar field is devised. It provides a way to get a simple exact solution to these equations. This solution determines the quintessence potential uniquely and it differs from solutions which have been used to study inflation previously. It relays on a unification of geometry and dark matter implemented through the definition of a functional relation between the scale factor of the Universe and the quintessence field. For a positive curvature Universe, this solution produces perpetual accelerated expansion rate of the Universe, while the Hubble parameter increases abruptly, attains a maximum value and decreases thereafter. The behavior of this cosmological solution is discussed and its main features are displayed. The formalism is extended to include matter and radiation.

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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