Cosmology with a new f(R) gravity model in Palatini formalism

Abstract

One of the most favourable extensions of General Relativity is the $f(R)$ gravity. $f(R)$ gravity in Palatini formalism can be a realistic alternative to the dark energy problem. In this work we study a recently introduced dark energy $f(R)$ gravity model along with two other models in cosmological perspectives under the Palatini formalism. First, we study the cosmic expansion history of these models with the help of the important cosmographic parameters, such as the Hubble parameter, luminosity distance, effective equation of state etc. This study shows that the new model behaves similarly with the other two models as well as with the $\Lambda$CDM model in some respects in the early or very early phases of the universe. It could predict the present accelerated expansion of the universe somewhat differently from the other models with a peculiar future history of the universe. Within a constrained range of parameters all models show a good agreement with the Union2.1 luminosity distance data. However, the new model shows a quite satisfactory agreement in the whole range of its allowed parameters than that of the other two models. We also obtain cosmological constraints on these models from the Observed Hubble Data. Further, models have been tested by using $Om(z)$ test and statefinder diagnostics. These diagnostics especially, the statefinder diagnostic shows that the evolutionary differences between these models are distinct. The evolutionary trajectories of the new model are completely different from the other two models we have considered.

19 pages, 15 figures

References in corpus (20)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Cosmological Evolution of a Quintom Model of Dark Energy
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Two new diagnostics of dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• Aspects of the cosmological "coincidence problem"
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration
• Top ten accelerating cosmological models
• Do we have any hope of detecting scattering between dark energy and baryons through cosmology?
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Cosmology with Hu-Sawicki gravity in Palatini Formalism

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