The cosmic jerk parameter in f(R) gravity

Abstract

We derive the expression for the jerk parameter in $f(R)$ gravity. We use the Palatini variational principle and the field equations in the Einstein conformal gauge. For the particular case $f(R)=R-\frac{{\alpha }^2}{3R}$, the predicted value of the jerk parameter agrees with the SNLS SNIa and X-ray galaxy cluster distance data but does not with the SNIa gold sample data.

8 pages; published version

References in corpus (14)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Jerk, snap, and the cosmological equation of state
• Reconciling dark energy models with f(R) theories
• On Physical Equivalence between Nonlinear Gravity Theories
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Cosmography: Cosmology without the Einstein equations
• The matter power spectrum in f(R) gravity
• The Luminosity Distance, the Equation of State, and the Geometry of the Universe
• Constraining f(R) gravity in the Palatini formalism
• Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
• The present universe in the Einstein frame, metric-affine R+1/R gravity

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• Dark energy, inflation and dark matter from modified F(R) gravity
• Interacting dark energy in $f(R)$ gravity
• Probing the cosmographic parameters to distinguish between dark energy and modified gravity models
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• The cosmic snap parameter in f(R) gravity
• Cosmological models with a hybrid scale factor in an extended gravity theory
• Cosmological perturbations in Palatini modified gravity
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Cosmography and large scale structure by f(R) gravity: new results
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Cosmological evolution with quadratic gravity and nonideal fluids
• Smooth deformations and cosmic statefinders
• A stable flat entropy-corrected FRW universe
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