Diagnostic of f (R ) under the O m (z ) function
Abstract
We perform the two-point diagnostic for the O m (z ) function proposed by Sahni et al. in 2014 for the Starobinsky and the Hu and Sawicki models in f (R ) gravity. We show that the observed values of the O m h2 function can be explained in f (R ) models, while in Λ CDM the O m h2 function is expected to be a redshift independent number. We perform the analysis for some particular values of Ωm0, finding a cumulative probability (P (χ2≤χmodel2) ) P ∼0.16 or ∼0.09 for the better cases versus a cumulative probability of P ∼0.98 in the Λ CDM scenario. We also show that these models present a characteristic signature around the interval between z ∼2 and z ∼4 that could be confronted with future observations using the same test.
- Publication:
-
Physical Review D
- Pub Date:
- June 2015
- DOI:
- 10.1103/PhysRevD.91.124070
- arXiv:
- arXiv:1506.03618
- Bibcode:
- 2015PhRvD..91l4070J
- Keywords:
-
- 04.50.Kd;
- 95.36.+x;
- Modified theories of gravity;
- Dark energy;
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- 6 pages, 3 figures. Accepted for publication in Phys. Rev. D