Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis

Abstract

If Newton's constant G evolves on cosmological timescales as predicted by extended gravity theories then Type Ia supernovae (SnIa) can not be treated as standard candles. The magnitude-redshift datasets however can still be useful. They can be used to simultaneously fit for both H(z) and G(z) (so that local G(z) constraints are also satisfied) in the context of appropriate parametrizations. Here we demonstrate how can this analysis be done by applying it to the Gold SnIa dataset. We compare the derived effective equation of state parameter w(z) at best fit with the corresponding result obtained by neglecting the evolution G(z). We show that even though the results clearly differ from each other, in both cases the best fit w(z) crosses the phantom divide w=-1. We then attempt to reconstruct a scalar tensor theory that predicts the derived best fit forms of H(z) and G(z). Since the best fit G(z) fixes the scalar tensor potential evolution F(z), there is no ambiguity in the reconstruction and the potential U(z) can be derived uniquely. The particular reconstructed scalar tensor theory however, involves a change of sign of the kinetic term ${\Phi }^{\prime }(z{)}^2$ as in the minimally coupled case.

Minor changes. Accepted in Phys. Rev. D. 7 revtex pages, 5 figures. The mathematica file with the numerical analysis of the paper is available at http://leandros.physics.uoi.gr/snevol.htm

References in corpus (94)

• 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
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Exploring the Expansion History of the Universe
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Cosmological Results from High-z Supernovae
• Exponential potentials and cosmological scaling solutions
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Dark Energy Constraints from the Cosmic Age and Supernova
• The Cosmic Triangle: Revealing the State of the Universe
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Cosmology with a Primordial Scaling Field
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• Cosmological Evolution of a Quintom Model of Dark Energy
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Gauss-Bonnet dark energy
• Braneworld models of dark energy
• Can dark energy evolve to the Phantom?
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• CDM Models with a Smooth Component
• A classification of scalar field potentials with cosmological scaling solutions
• Dark Matter and Dark Energy
• A New Cosmological Model of Quintessence and Dark Matter
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Probing the dark energy: methods and strategies
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Scalar-tensor gravity in an accelerating universe
• Extended Quintessence
• Uncorrelated Estimates of Dark Energy Evolution
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Oscillating Quintom and the Recurrent Universe
• Future Supernovae observations as a probe of dark energy
• Hessence: A New View of Quintom Dark Energy
• Parameterization of Dark-Energy Properties: a Principal-Component Approach
• Crossing the Phantom Divide: Dark Energy Internal Degrees of Freedom
• Cosmological constraints from the X-ray gas mass fraction in relaxed lensing clusters observed with Chandra
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• The Robustness of Quintessence
• Observational constraints on low redshift evolution of dark energy: How consistent are different observations?
• A comparison of cosmological models using recent supernova data
• Coupled dark energy: Towards a general description of the dynamics
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Cosmological observations in scalar-tensor quintessence
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• A Model-Independent Determination of the Expansion and Acceleration Rates of the Universe as a Function of Redshift and Constraints on Dark Energy
• The fate of (phantom) dark energy universe with string curvature corrections
• Smoothing Supernova Data to Reconstruct the Expansion History of the Universe and its Age
• Model-Independent Constraints on Dark Energy Density from Flux-averaging Analysis of Type Ia Supernova Data
• Dynamical dark energy: Current constraints and forecasts
• Solving the Coincidence Problem: Tracking Oscillating Energy
• Two-field Models of Dark Energy with Equation of State Across -1
• Uncorrelated Measurements of the Cosmic Expansion History and Dark Energy from Supernovae
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• Dark-Energy Evolution Across the Cosmological-Constant Boundary
• Testing dark energy beyond the cosmological constant barrier
• Bounds on the possible evolution of the Gravitational Constant from Cosmological Type-Ia Supernovae
• Exploring Cosmological Expansion Parametrizations with the Gold SnIa Dataset
• Dark Energy: the Cosmological Challenge of the Millennium
• Current constraints on the dark energy equation of state
• Observing Dark Energy Dynamics with Supernova, Microwave Background and Galaxy Clustering
• Testing Scalar-Tensor Gravity Using Space Gravitational-Wave Interferometers
• Constraining the dark energy with galaxy clusters X-ray data
• Confronting Braneworld Cosmology with Supernova data and Baryon Oscillations
• A Note on Crossing the Phantom Divide in Hybrid Dark Energy Model
• Structure formation constraints on the Jordan-Brans-Dicke theory
• Comparison of Approaches to Quantum Correction of Black Hole Thermodynamics
• Some Observational Consequences of Brane World Cosmologies
• Dark energy transition between quintessence and phantom regimes - an equation of state analysis
• Reconstruction of general scalar-field dark energy models
• Cosmological Constraints on Newton's Constant
• Probing Dark Energy Using Its Density Instead of Its Equation of State
• Equation of State of Oscillating Brans-Dicke Scalar and Extra Dimensions
• New Vistas in Braneworld Cosmology
• Constraints on the dark energy equation of state from recent supernova data
• Super-acceleration on the Brane by Energy Flow from the Bulk
• The Genesis of Cosmological Tracker Fields
• The onset of the non-linear regime in unified dark matter models
• Brane-bulk energy exchange : a model with the present universe as a global attractor
• A Supernova Brane Scan
• Cosmological Effects of Radion Oscillations
• Classification of dark energy models in the (w_0,w_a) plane
• Unbiased Estimate of Dark Energy Density from Type Ia Supernova Data
• Fitting Non-Minimally Coupled Scalar Models to Gold SnIa Dataset
• Constraints on extended quintessence from high-redshift Supernovae
• Hybrid Dark Sector: Locked Quintessence and Dark Matter

Cited by in corpus (66)

• Dynamics of dark energy
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• Observational Constraints on Dark Energy and Cosmic Curvature
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Holographic dark energy with varying gravitational constant
• Cosmological coincidence problem in interacting dark energy models
• Early modified gravity in light of the $H_0$ tension and LSS data
• A rapid transition of $G_{\mathrm{eff}}$ at $z_t\simeq 0.01$ as a solution of the Hubble and growth tensions
• Figure of Merit for Dark Energy Constraints from Current Observational Data
• A larger value for $H_0$ by an evolving gravitational constant
• Observational constraints on holographic dark energy with varying gravitational constant
• Hints of Nonminimally Coupled Gravity in DESI 2024 Baryon Acoustic Oscillation Measurements
• Hubble tension or a transition of the Cepheid SnIa calibrator parameters?
• A new perspective on Dark Energy modeling via Genetic Algorithms
• Crossing $w=-1$ by a single scalar on a Dvali-Gabadadze-Porrati brane
• Critical comments on the paper "Crossing $\omega =-1$ by a single scalar field on a Dvali-Gabadadze-Porrati brane" by H Zhang and Z-H Zhu [Phys.Rev.D75,023510(2007)]
• Testing GRBs as Standard Candles
• Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
• Holographic dark energy with varying gravitational constant in Horava-Lifshitz cosmology
• Comparison of Standard Ruler and Standard Candle constraints on Dark Energy Models
• Genetic Algorithms and Supernovae Type Ia Analysis
• The Limits of Extended Quintessence
• Density Perturbations for Running Cosmological Constant
• Holographic Dark Energy Model with Hubble Horizon as an IR Cut-off
• Constraints on the distance duality relation with standard sirens
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Avoiding the Big-Rip Jeopardy in a Quintom Dark Energy Model with Higher Derivatives
• Hints of Modified Gravity in Cosmos and in the Lab?
• Thermodynamics of viscous dark energy in an RSII braneworld
• New Parametrization for the Scale Dependent Growth Function in General Relativity
• The accelerating universe and a limiting curvature proposal
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Composite dark energy: cosmon models with running cosmological term and gravitational coupling
• Comparison of Recent SnIa datasets
• Multiple kinetic k-essence, phantom barrier crossing and stability
• Interacting Modified Holographic Dark Energy in Kaluza-Klein Universe
• Restoring New Agegraphic Dark Energy in RS II Braneworld
• Constraining power of cosmological observables: blind redshift spots and optimal ranges
• The WiggleZ Dark Energy Survey: constraining the evolution of Newton's constant using the growth rate of structure
• Effect of transitions in the Planck mass during inflation on primordial power spectra
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Machine Learning and cosmographic reconstructions of quintessence and the Swampland conjectures
• Can the degeneracies in the gravity sector be broken?
• Updating constraints on phantom crossing $f(T)$ gravity
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Type Ia supernovae data with scalar-tensor gravity
• Holographic Dark Energy Like in $f(R)$ Gravity
• Non-minimally coupled gravity constraints from DESI DR2 data
• Is gravity getting weaker at low z? Observational evidence and theoretical implications
• Holographic dark energy with time depend gravitational constant in the non-flat Ho$\check{r}$ava-Lifshitz cosmology
• Cosmology with variable $G$ and nonlinear electrodynamics
• Dimensionless cosmology
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• The Distinguishability of Interacting Dark Energy from Modified Gravity
• Scalar - Tensor gravity with scalar -matter direct coupling and its cosmological probe
• Braneworld cosmology in the sourced-Taub background
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Variable $G$ Correction for Dark Energy Model in Higher Dimensional Cosmology
• An investigation of a varying G through Strong Lensing and SNe Ia observations
• Gravitational Waves with Dark Energy