Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity

Abstract

We examine the observational viability of a class of $f(\mathcal{R})$ gravity cosmological models. Particular attention is devoted to constraints from the recent observational determination of the redshift of the cosmological deceleration-acceleration transition. Making use of the fact that the Ricci scalar is a function of redshift $z$ in these models, $\mathcal{R}=\mathcal{R}(z)$, and so is $f(z)$, we use cosmography to relate a $f(z)$ test function evaluated at higher $z$ to late-time cosmographic bounds. First, we consider a model independent procedure to build up a numerical $f(z)$ by requiring that at $z=0$ the corresponding cosmological model reduces to standard $\Lambda$CDM. We then infer late-time observational constraints on $f(z)$ in terms of bounds on the Taylor expansion cosmographic coefficients. In doing so we parameterize possible departures from the standard $\Lambda$CDM model in terms of a two-parameter logarithmic correction. The physical meaning of the two parameters is also discussed in terms of the post Newtonian approximation. Second, we provide numerical estimates of the cosmographic series terms by using Type Ia supernova apparent magnitude data and Hubble parameter measurements. Finally, we use these estimates to bound the two parameters of the logarithmic correction. We find that the deceleration parameter in our model changes sign at a redshift consistent with what is observed.

arXiv comment11 pages, 7 figures

References in corpus (73)

• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Statefinder -- a new geometrical diagnostic of dark energy
• Disappearing cosmological constant in f(R) gravity
• Constraints on the redshift dependence of the dark energy potential
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Jerk, snap, and the cosmological equation of state
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Reconciling dark energy models with f(R) theories
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Hubble parameter measurement constraints on the cosmological deceleration-acceleration transition redshift
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Cosmography: Cosmology without the Einstein equations
• Cosmography of f(R) gravity
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Median Statistics, H_0, and the Accelerating Universe
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Transition Redshift: New Kinematic Constraints from Supernovae
• The Hubble series: Convergence properties and redshift variables
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• Median statistics and the Hubble constant
• Complete Cosmic History with a dynamical Lambda(H) term
• Measurements of H(z) and D_A(z) from the Two-Dimensional Two-Point Correlation Function of Sloan Digital Sky Survey Luminous Red Galaxies
• Nonlocal Models of Cosmic Acceleration
• Cosmographic Hubble fits to the supernova data
• Distance Priors from Planck and Dark Energy Constraints from Current Data
• Non-Gaussian Error Distribution of Hubble Constant Measurements
• Supernovae Ia Constraints on a Time-Variable Cosmological "Constant"
• Initial and final de Sitter universes from modified $f(R)$ gravity
• The Statefinder hierarchy: An extended null diagnostic for concordance cosmology
• Binned Cosmic Microwave Background Anisotropy Power Spectra: Peak Location
• Binned Hubble parameter measurements and the cosmological deceleration-acceleration transition
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Probing kinematics and fate of the Universe with linearly time-varying deceleration parameter
• Dark Energy: Recent Developments
• Cosmography beyond standard candles and rulers
• Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations
• Nonflat time-variable dark energy cosmology
• Probing Dark Energy Anisotropy
• Constraining the Cosmological Parameters and Transition Redshift with Gamma-Ray Bursts and Supernovae
• Constraining dark energy with gamma-ray bursts
• The impact of a new median statistics $H_0$ prior on the evidence for dark radiation
• Constraints on Scalar-Field Dark Energy from the Cosmic Lens All-Sky Survey Gravitational Lens Statistics
• High redshift cosmography: new results and implication for dark energy
• Hiding dark energy transitions at low redshift
• Can structure formation distinguish ΛCDM from non-minimal f(R) Gravity?
• Cosmological-Model-Parameter Determination from Satellite-Acquired Type Ia and IIP Supernova Data
• Cosmography of f(R) - brane cosmology
• Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling
• Beyond H_0 and q_0: Cosmology is no longer just two numbers
• Confronting dark energy models mimicking $\Lambda$CDM epoch with observational constraints: future cosmological perturbations decay or future Rip?
• Reconstructing the Properties of Dark Energy using Standard Sirens
• Reconstructing the History of Energy Condition Violation from Observational Data
• Cosmography and large scale structure by f(R) gravity: new results
• Median statistics cosmological parameter values
• Probing dark energy with the next generation X-ray surveys of galaxy clusters
• On detecting interactions in the dark sector with H(z) data
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• Cosmological constraints on holographic dark energy models under the energy conditions
• Supernovae as probes of cosmic parameters: estimating the bias from under-dense lines of sight
• Forecasting cosmological parameter constraints from near-future space-based galaxy surveys
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• Freezing Out Early Dark Energy
• Complementary cosmological tests of RSII brane models
• Testing X-ray Measurements of Galaxy Cluster Gas Mass Fraction Using the Cosmic Distance-Duality Relation

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• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• Hubble Tension and Dark Energy in Teleparallel Gauss-Bonnet Gravity: New Constraints from DESI BAO, Pantheon${}^{+}$ and Hubble Data
• Linear and nonlinear clusterings of Horndeski-inspired dark energy models with fast transition
• Testing Gauss-Bonnet Gravity with DESI BAO Data
• Effects of dynamical friction on perturbations for evolving dark energy
• Accelerating Universe with binary mixture of bulk viscous fluid and dark energy
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints