2018/11/30 by Florencia A. Teppa Pannia, F. A. Teppa Pannia, S. E. Perez Bergliaffa +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Constraint (computer-aided design) #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Formalism (music) #Kinematics #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Parameter space #Redshift #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-019-6764-x
published as Eur. Phys. J. C (2019) 79: 267 · 7 pages, 2 figures
openalex created_date 2018/11/29 · openalex publication_date 2019/03/01 · arxiv created 2019/03/27 · arxiv updated 2019/03/28 · openalex updated_date 2026/08/05
We present an application to cosmological models in f(\mathcal R) theories within the Palatini formalism of a method that combines cosmography and the explicit form of the field equations in the calculation of the redshift drift. The method yields a sequence of constraint equations which lead to limits on the parameter space of a given f(\mathcal R) -model. Two particular families of f(R) -cosmologies capable of describing the current dynamics of the universe are explored here: (i) power law theories of the type f(\mathcal R)=\mathcal R-β /\mathcal Rn , and (ii) theories of the form f(\mathcal R)=\mathcal R+α ln \mathcal R -β . The constraints on (n,β ) and (α ,β ) , respectively, limit the values to intervals that are narrower than the ones previously obtained. As a byproduct, we show that when applied to General Relativity, the method yields values of the kinematic parameters with much smaller errors that those obtained directly from observations.