Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-23
Phys.Rev.D79:083014,2009
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 4 figures, revised version, accepted in Phys. Rev. D
Scientific paper
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.
Bamba Kazuharu
Geng Chao-Qiang
Nojiri Shin'ichi
Odintsov Sergei D.
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