Dark energy: the equation of state description versus scalar-tensor or modified gravity

2005/12/31 by S. Capozziello, Salvatore Capozzıello, Shin’ichi Nojiri +3 · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Einstein #Einstein tensor #Equation of state #Exact solutions in general relativity #Galaxies: Formation, Evolution, Phenomena #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Riemann curvature tensor #Scalar (mathematics) #Scalar–tensor theory #Stress–energy tensor #Tensor (intrinsic definition) #Theoretical physics #astro-ph #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.01.065

published as Phys.Lett.B634:93-100,2006 · LaTeX file, 10 pages, 3 figures, the fit of two equivalent models with observational data is added, new references

arxiv created 2006/01/23 · openalex publication_date 2006/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Dark energy dynamics of the universe can be achieved by equivalent mathematical descriptions taking into account generalized fluid equations of state in General Relativity, scalar-tensor theories or modified F(R) gravity in Einstein or Jordan frames. The corresponding technique transforming equation of state description to scalar-tensor or modified gravity is explicitly presented. We show that such equivalent pictures can be discriminated by matching solutions with data capable of selecting the true physical frame.

Citations

• Pixelated Lenses and [ITAL]H[/ITAL][TINF]0[/TINF] from Time-Delay Quasars
• A measurement of H0 from Ryle Telescope, ASCA and ROSAT observations of Abell 773
• de Sitter attractors in generalized gravity
• Cosmological Constant - the Weight of the Vacuum
• How to determine an effective potential for a variable cosmological term
• Constraining Van der Waals quintessence with observations
• Final Results from theHubble Space TelescopeKey Project to Measure the Hubble Constant
• A Model‐Independent Determination of the Expansion and Acceleration Rates of the Universe as a Function of Redshift and Constraints on Dark Energy
• Gravitational lensing potential reconstruction in quadruply imaged systems

Cited by

• Interacting dark energy model in the brane scenario: A dynamical system analysis
• Dark energy cosmology from higher-order, string-inspired gravity, and its reconstruction
• Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem
• Solar system constraints onRngravity
• Gravitational coupling and dynamical reduction of the cosmological constant
• Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
• Universal thermodynamics in different gravity theories: Conditions for generalized second law of thermodynamics and thermodynamical equilibrium on the horizons
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• Modified gravity as an alternative for ΛCDM cosmology
• Conformally related metrics and Lagrangians and their physical interpretation in cosmology
• Thermodynamics of f(R) theories of gravity
• Effective gravitational equations forf(R)braneworld models
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning