Constraining Inverse Curvature Gravity with Supernovae

Abstract

We show that the current accelerated expansion of the Universe can be explained without resorting to dark energy. Models of generalized modified gravity, with inverse powers of the curvature can have late time accelerating attractors without conflicting with solar system experiments. We have solved the Friedman equations for the full dynamical range of the evolution of the Universe. This allows us to perform a detailed analysis of Supernovae data in the context of such models that results in an excellent fit. Hence, inverse curvature gravity models represent an example of phenomenologically viable models in which the current acceleration of the Universe is driven by curvature instead of dark energy. If we further include constraints on the current expansion rate of the Universe from the Hubble Space Telescope and on the age of the Universe from globular clusters, we obtain that the matter content of the Universe is 0.07 <= omega_m <= 0.21 (95% Confidence). Hence the inverse curvature gravity models considered can not explain the dynamics of the Universe just with a baryonic matter component.

10 pages, 2 figures

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The Cosmic Triangle: Revealing the State of the Universe
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Can modified gravity explain accelerated cosmic expansion?
• 1/R gravity and Scalar-Tensor Gravity
• The Cosmology of Generalized Modified Gravity Models
• Modified gravity with $\ln R$ terms and cosmic acceleration
• The cosmological baryon density from the deuterium to hydrogen ratio towards QSO absorption systems: D/H towards Q1243+3047
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• Constraining Dark Energy with X-ray Galaxy Clusters, Supernovae and the Cosmic Microwave Background
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• On the Newtonian limit of Generalized Modified Gravity Models

Cited by in corpus (82)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Modified gravity and its reconstruction from the universe expansion history
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Construction of cosmologically viable f(G) gravity models
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• Energy conditions in f(R)-gravity
• A kinematical approach to dark energy studies
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• Stability of Cosmological Solution in f(R) Models of Gravity
• A f(R) gravity without cosmological constant
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• Generalized Galileon cosmology
• Gravitational collapse in f(R) theories
• Solar system constraints on f(G) gravity models
• Thin accretion disks in f(R) modified gravity models
• On the evolution of density perturbations in f(R) theories of gravity
• Modified gravity as an alternative for Lambda-CDM cosmology
• Dark energy, inflation and dark matter from modified F(R) gravity
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• The behavior of $f(R)$ gravity in the solar system, galaxies and clusters
• Dark matter and dark energy as a effects of Modified Gravity
• Do we have any hope of detecting scattering between dark energy and baryons through cosmology?
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Bianchi Type-I Anisotropic Dark Energy Models with Constant Deceleration Parameter
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Black hole entropy in modified gravity models
• Consistent long distance modification of gravity from inverse powers of the curvature
• Dark Energy Model in Anisotropic Bianchi Type-III Space-Time with Variable EoS Parameter
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• In search of the dark matter dark energy interaction: a kinematic approach
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Acceleration of the universe: a reconstruction of the effective equation of state
• Metric gravity theories and cosmology. I. Physical interpretation and viability
• F(R) gravity's rainbow and its Einstein counterpart
• Dark energy: investigation and modeling
• Forecasts for Dark Energy Measurements with Future HI Surveys
• Dark energy, gravitation and supernovae
• Genesis of Dark Energy: Dark Energy as Consequence of Release and Two-stage Tracking Cosmological Nuclear Energy
• On the current status of Modified Gravity
• Modified gravity, Dark Energy and MOND
• Homogeneous cosmologies in generalized modified gravity
• Two-Fluid Dark Energy Models in Bianchi Type-III Universe with Variable Deceleration Parameter
• Astronomical constraints on some long-range models of modified gravity
• Scalar mode propagation in modified gravity with a scalar field
• Reconstruction of interaction rate in Holographic dark energy
• Observational Bounds on Modified Gravity Models
• Future dynamics in f(R) theories
• The luminosity-redshift relation in brane-worlds: I. Analytical results
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Cosmic Acceleration and Modified Gravity
• Effects of CDTT Model on the Dynamical Instability of Cylindrically Symmetric Collapsing Stars
• Future constraints on the Hu-Sawicki modified gravity scenario
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• A minimal set of invariants as a systematic approach to higher order gravity models
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Isolating the decay rate of cosmological gravitational potential
• Cosmic acceleration and $f(R)$ theory: perturbed solution in a matter FLRW model
• A new approach to cosmological perturbations in f(R) models
• Gravitational Origin of Phantom Dark Energy and Late Cosmic Acceleration
• Astrophysics in 2006
• Self-accelerating solutions of scalar-tensor gravity
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• A minimal set of invariants as a systematic approach to higher order gravity models: Physical and Cosmological Constraints
• The Bianchi type-V Dark Energy Cosmology in Self Interacting Brans Dicke Theory of Gravity
• Cosmic Evolution with Early and Late Acceleration Inspired by Dual Nature of the Ricci Scalar Curvature
• Non linear equation of state and effective phantom divide in brane models
• Does Unruh radiation accelerate the universe? A novel approach to the cosmic acceleration
• Long distance modifications of gravity in four dimensions
• Perturbations In Some Dark Energy Models