On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar

Details On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar

2012-02-16

arxiv.org/abs/1202.3598v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

We prove the necessary and the sufficient condition on the f(R) function involving the equivalence of GR and the f(R) theory, in the sense that for a distribution of matter in a spacetime of constant Ricci scalar, GR and the f(R) theories generated by the functions that satisfy this condition, will necessarily have the same solutions. We show how this condition allows to get such functions, and gives the possibility to fixe conditions on the parameters of any given class of f(R) functions, so that GR and this class of theories, will have exactly the same solutions. The well-known model R+{\alpha}{\beta}^{1-p}R^{p}, for dark energy is discussed as an illustration.

Affiliated with

Also associated with

No associations

Rating

On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar 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 On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the f(R) theories equivalent to general relativity for spacetimes with a constant Ricci scalar will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125648