Phantom scalar dark energy as modified gravity: Understanding the origin of the Big Rip singularity

By F. Briscese, E. Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov. 2006

261 citations recorded by the source corpus.

Abstract It is shown that phantom scalar models can be mapped into a mathematically equivalent, modified F ( R ) gravity, which turns out to be complex, in general. Only for even scalar potentials is the ensuing modified gravity real. It is also demonstrated that, even in this case, modified gravity becomes complex at the region where the original phantom dark energy theory develops a Big Rip singularity. A number of explicit examples are presented which show that these two theories are not completely equivalent, from the physical viewpoint. This basically owes to the fact that the physical metric in both theories differ in a time-dependent conformal factor. As a result, an FRW accelerating solution, or FRW instanton, in the scalar–tensor theory may look as a decelerating FRW solution, or a non-instantonic one, in the corresponding modified gravity theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c9698aa9ef60f2191221dc3df08e13211289c97b

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Modified Gravity and Cosmology (2011, background): “Further, one can show that the addition of higher powers of R to the gravitational Lagrangian again helps defend it from instability [968, 421, 970].”