Interacting dark energy in $f(R)$ gravity

Details Interacting dark energy in $f(R)$ gravity Interacting dark energy in $f(R)$ gravity

2006-07-27

arxiv.org/abs/gr-qc/0607124v3

Phys.Rev. D74 (2006) 084032

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; published version

Scientific paper

10.1103/PhysRevD.74.084032

The field equations in $f(R)$ gravity derived from the Palatini variational principle and formulated in the Einstein conformal frame yield a cosmological term which varies with time. Moreover, they break the conservation of the energy--momentum tensor for matter, generating the interaction between matter and dark energy. Unlike phenomenological models of interacting dark energy, $f(R)$ gravity derives such an interaction from a covariant Lagrangian which is a function of a relativistically invariant quantity (the curvature scalar $R$). We derive the expressions for the quantities describing this interaction in terms of an arbitrary function $f(R)$, and examine how the simplest phenomenological models of a variable cosmological constant are related to $f(R)$ gravity. Particularly, we show that $\Lambda c^2=H^2(1-2q)$ for a flat, homogeneous and isotropic, pressureless universe. For the Lagrangian of form $R-1/R$, which is the simplest way of introducing current cosmic acceleration in $f(R)$ gravity, the predicted matter--dark energy interaction rate changes significantly in time, and its current value is relatively weak (on the order of 1% of $H_0$), in agreement with astronomical observations.

Affiliated with

Also associated with

No associations

Rating

Interacting dark energy in $f(R)$ gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Interacting dark energy in $f(R)$ gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interacting dark energy in $f(R)$ gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-250193