Comments on Scalar-Tensor Representation of $f(R)$ Theories

Abstract

We propose a scalar-tensor representation of $f(R)$ theories with use of conformal transformations. In this representation, the model takes the form of the Brans-Dicke model with a potential function and a non-zero kinetic term for the scalar field. We show that due to interaction of the scalar field with matter systems, the corresponding matter stress tensor is not conserved and test particles experience an anomalous acceleration.

arXiv comment7 pages, no figures, To appear in Physica Scripta

References in corpus (47)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• 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
• Coupled Quintessence
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• The Confrontation between General Relativity and Experiment
• Cosmological Tracking Solutions
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Dark Energy Constraints from the Cosmic Age and Supernova
• Extra force in $f(R)$ modified theories of gravity
• Quantum deSitter cosmology and phantom matter
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• Cosmological Evolution of a Quintom Model of Dark Energy
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• 1/R gravity and Scalar-Tensor Gravity
• The Cosmology of Generalized Modified Gravity Models
• The State of the Dark Energy Equation of State
• On Physical Equivalence between Nonlinear Gravity Theories
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Extended Gravity Theories and the Einstein-Hilbert Action
• f(R) Gravity and scalar-tensor theory
• Gravity assisted dark energy dominance and cosmic acceleration
• Nonminimal coupling and quintessence
• The conformal frame freedom in theories of gravitation
• f(R) Gravity and Chameleon Theories
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Accelerated Cosmological Models in Ricci squared Gravity
• Solar System tests DO rule out 1/R gravity
• deSitter brane universeinduced by phantom and quantum effects
• Interactions in Scalar Field Cosmology
• A measurement of Omega from the North American test flight of BOOMERANG
• Solar System experiments do not yet veto modified gravity models
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• Testing dark energy beyond the cosmological constant barrier
• General Scalar Fields as Quintessence
• Cosmological Evolution in 1/R-Gravity Theory
• Phantom with Born-Infield type Lagrangian
• Constraints on the interaction and self-interaction of dark energy from cosmic microwave background
• Dark energy and the Boomerang data
• Cosmological models from quintessence
• Quintessence Cosmology and the Cosmic Coincidence

Cited by in corpus (7)

• Black hole solutions in F(R) gravity with conformal anomaly
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• The generalized second law of gravitational thermodynamics on the apparent horizon in f(R)-gravity
• Polytropic and Chaplygin f(R)-gravity models
• Cosmic Acceleration in Brans-Dicke Cosmology
• Modified Bekenstein-Hawking system in $f(R)$ gravity
• Cosmic Evolution in a Modified Brans-Dicke Theory