Crossing of the phantom divide in modified gravity

By Kazuharu Bamba, Chao-Qiang Geng, Shin'ichi Nojiri, Sergei D. Odintsov. 2008

136 citations recorded by the source corpus.

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 nonphantom 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0637992c8bf31e563683c919595b28587c4cb550

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Citations in the corpus

Inflationary Cosmology in Modified Gravity Theories (2015, methodology): “We first explain the conformal transformation from F (R) gravity in the Jordan frame to the corresponding scalar field theory in the Einstein frame [19,43].”
f(R) Theories (2010, background): “Note that as long as the late-time attractor is the de Sitter point the cosmological constant boundary crossing of weff reported in [52, 50] does not typically occur, apart from small oscillations of weff around the de Sitter point.”