The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession

Abstract

The effects of a nonminimally coupled curvature-matter model of gravity on a perturbed Minkowski metric are presented. The action functional of the model involves two functions $f^1(R)$ and $f^2(R)$ of the Ricci scalar curvature $R$. This work expands upon previous results, extending the framework developed there to compute corrections up to order $O(1/c^4)$ of the $00$ component of the metric tensor. It is shown that additional contributions arise due to both the non-linear form $f^1(R)$ and the nonminimal coupling $f^2(R)$, including exponential contributions that cannot be expressed as an expansion in powers of $1/r$. Some possible experimental implications are assessed with application to perihelion precession.

arXiv comment21 pages, 7 figures

References in corpus (50)

• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• Particle Dark Matter: Evidence, Candidates and Constraints
• f(R) Theories Of Gravity
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• An alternative to quintessence
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Curvature Quintessence
• Extra force in $f(R)$ modified theories of gravity
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• 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
• f(R,L_m) gravity
• Solar System constraints to general f(R) gravity
• Nonminimal coupling of perfect fluids to curvature
• f(R) Gravity and Chameleon Theories
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Do f(R) theories matter?
• On the non-minimal gravitational coupling to matter
• Reheating via a generalized non-minimal coupling of curvature to matter
• Orbital precession due to central-force perturbations
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• On the 1/c Expansion of f(R) Gravity
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• New values of gravitational moments J2 and J4 deduced from helioseismology
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories
• On the dynamics of perfect fluids in non-minimally coupled gravity
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
• Solar System constraints to nonminimally coupled gravity
• Conservation laws in gravitational theories with general nonminimal coupling
• The Higgs portal and an unified model for dark energy and dark matter
• Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
• Perturbation of the metric around a spherical body from a nonminimal coupling between matter and curvature
• Perihelion precession for modified Newtonian gravity
• Dynamical analysis of nonminimal coupled theories
• Constraining the Nordtvedt parameter with the BepiColombo Radioscience experiment
• The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
• Modified theories of gravity with nonminimal coupling and orbital particle dynamics
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Unraveling gravity beyond Einstein with extended test bodies
• Black hole solutions of gravity theories with nonminimal coupling between matter and curvature

Cited by in corpus (7)

• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Constraining a nonminimally coupled curvature-matter gravity model with ocean experiments
• The solar system test for the general modified gravity theories
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Theories of gravity with nonminimal matter-curvature coupling and the de Sitter swampland conjectures
• $f(R)$ gravity in the solar system and cosmological scalarons