Constraining f(R) theories with the energy conditions

Abstract

A new method to constrain gravitational theories depending on the Ricci scalar is presented. It is based on the weak energy condition and yields limits on the parameters of a given theory through the current values of the derivatives of the scale factor of the Friedmann-Robertson-Walker geometry. A further constraint depending on the current value of the snap is also given. Actual constraints (and the corresponding error propagation analysis) are calculated for two examples, which show that the method is useful in limiting the possible $f(R)$ theories.

4 pages, 3 figures

References in corpus (5)

• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• A kinematical approach to dark energy studies
• Energy conditions in the epoch of galaxy formation
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models

Cited by in corpus (46)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Beyond the Cosmological Standard Model
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Modified gravity with arbitrary coupling between matter and geometry
• Energy conditions in f(R)-gravity
• Cosmography of f(R) gravity
• Dark matter as a geometric effect in f(R) gravity
• Generalized energy conditions in Extended Theories of Gravity
• Energy Conditions in Modified $f(G)$ Gravity
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Thin accretion disks in f(R) modified gravity models
• Generalized virial theorem in f(R) gravity
• Energy Conditions and Cosmic Acceleration
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Gödel-type universes in f(R) gravity
• The Weak Energy Condition and the Expansion History of the Universe
• The cosmic snap parameter in f(R) gravity
• Lookback time bounds from energy conditions
• Wormhole solutions in $f(R)$ Gravity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Gödel-type universes in Palatini f(R) gravity
• Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity
• A Conformally Flat Generalized Ricci Recurrent Spacetime in F(R)-Gravity
• Energy conditions bounds and their confrontation with supernovae data
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
• Future dynamics in f(R) theories
• Cosmological models with squared trace in modified gravity
• Periodic cosmic evolution in $f(Q)$ gravity formalism
• Energy conditions bounds and supernovae data
• Observation constraints on scalar field cosmological model in Anisotropic universe
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• Impact of curvature based geometric constraints on $F(R)$ theory
• Hybrid star within $f(\mathcal{G})$ gravity
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Bounding the Hubble flow in terms of the w parameter
• Scalar-field potential for viable models in $f(R)$ theory
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• Using Energy Conditions to Distinguish Brane Models and Study Brane Matter