Friedmann Equation for Brans Dicke Cosmology

Abstract

In the context of Brans-Dicke scalar tensor theory of gravitation, the cosmological Friedmann equation which relates the expansion rate $H$ of the universe to the various fractions of energy density is analyzed rigorously. It is shown that Brans-Dicke scalar tensor theory of gravitation brings a negligible correction to the matter density component of Friedmann equation. Besides, in addition to ${\Omega }_{\Lambda }$ and ${\Omega }_M$ in standard Einstein cosmology, another density parameter, ${\Omega }_{{}_{\Delta }}$, is expected by the theory. This implies that if ${\Omega }_{{}_{\Delta }}$ is found to be nonzero, data will favor this model instead of the standard Einstein cosmological model with cosmological constant and will enable more accurate predictions for the rate of change of Newtonian gravitational constant in the future.

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References in corpus (32)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• 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
• The Cosmological Constant
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• 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
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Cosmology with a Primordial Scaling Field
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• Structure formation with a self-tuning scalar field
• The HST Key Project on the Extragalactic Distance Scale. XXVIII. Combining the Constraints on the Hubble Constant
• Can the clustered dark matter and the smooth dark energy arise from the same scalar field ?
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• WMAP constraints on low redshift evolution of dark energy
• The Anisotropy of the Microwave Background to l = 3500: Deep Field Observations with the Cosmic Background Imager
• Scalar-Tensor Gravity and Quintessence
• A theoretician's analysis of the supernova data and the limitations in determining the nature of dark energy
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• You need not be afraid of phantom energy
• Is cosmology consistent?
• Non-Linear gravitational growth of large scale structures inside and outside standard Cosmology
• Phantom energy mediates a long-range repulsive force
• Brans-Dicke Scalar Field as a Unique k-essence
• Constraints on Omega_B, Omega_m and h from MAXIMA and BOOMERANG
• Exact Scaling Solutions in Normal and Brans-Dicke Models of Dark Energy
• Rippled Cosmological Dark Matter from Damped Oscillating Newton Constant

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• Interacting Ricci Logarithmic Entropy Corrected Holographic Dark Energy in Brans-Dicke Cosmology
• The accelerated scaling attractor solution of the interacting agegraphic dark energy in Brans-Dicke theory
• Scalar field as an intrinsic time measure in coupled dynamical matter-geometry systems. I. Neutral gravitational collapse
• Varying constants driven baryogenesis
• Stability of HDE model with sign-changeable interaction in Brans-Dicke theory
• Can hyperbolic phase of Brans-Dicke field account for Dark Matter?
• Inflation and Linear Expansion in the Radiation Dominated era in Jordan-Brans-Dicke Cosmology