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arXiv 0810.4296hep-thastro-phgr-qchep-ph
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在改良重力中穿过体模分界线

Crossing of the phantom divide in modified gravity

Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri, Sergei D. Odintsov

摘要:

我们重建了一个明确的模型,修改后的重力,其中的幻影鸿沟的交叉可以实现。结果表明,在修正引力模型中出现了(有限时间)大撕裂奇异性(即,在所谓的Jordan框架中),而在通过保角变换获得的相应的标量场理论中(即,在所谓的爱因斯坦框架中)奇点变成无限时间奇点。此外,利用逆保角变换,我们还研究了实现幻影分界线穿越的标量场理论与相应的修正引力理论之间的关系。通过逆(复)保角变换,证明了描述非幻影相(有大撕裂的幻影相)的标量场理论可以表示为实(复)$F(R)$引力理论.我们还研究了一个可行的模型,修改后的重力,从德西特宇宙的幻影阶段可以发生的过渡。此外,我们还讨论了在共形反常的量子修正下,所得到的穿越幻影分界线的解的稳定性。

英文摘要:

We reconstruct an explicit model of modified gravity in which a crossing of the phantom divide can be realized. It is shown that the (finite-time) Big Rip singularity appears in the model of modified gravity (i.e., in the so-called Jordan frame), whereas that in the corresponding scalar field theory obtained through the conformal transformation (i.e., in the so-called Einstein frame) the singularity becomes the infinite-time one. Furthermore, we investigate the relations between the scalar field theories with realizing a crossing of the phantom divide and the corresponding modified gravitational theories by using the inverse conformal transformation. It is demonstrated that the scalar field theories describing the non-phantom phase (phantom one with the Big Rip) can be represented as the theories of real (complex) $F(R)$ gravity through the inverse (complex) conformal transformation. We also study a viable model of modified gravity in which the transition from the de Sitter universe to the phantom phase can occur. In addition, we explore the stability for the obtained solutions of the crossing of the phantom divide under a quantum correction coming from conformal anomaly.

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