Crossing Phantom Boundary in $f(R)$ Modified Gravity : Jordan Frame vs Einstein Frame

Details Crossing Phantom Boundary in $f(R)$ Modified Gravity : Jordan Frame vs Einstein Frame Crossing Phantom Boundary in $f(R)$ Modified Gravity : Jordan Frame vs Einstein Frame

2012-01-09

arxiv.org/abs/1201.1823v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 Pages, 4 figs., To appear in Gravitation and Cosmology

Scientific paper

We study capability of $f(R)$ gravity models to allow crossing the phantom boundary in both Jordan and Einstein conformal frames. In Einstein frame, these models are equivalent to Einstein gravity together with a scalar field minimally coupled to gravity. This scalar degree of freedom appears as a quintessence field with a coupling with the matter sector. We investigate evolution of the equation of sate parameter for some cosmologically viable $f(R)$ gravity models in both conformal frames. This investigation (beyond mere theoretical arguments) acts as an operational tool to distinguish physical status of the two conformal frames. It shows that the two conformal frames have not the same physical status.

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