Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling

Abstract

The dynamics of test particles in $f(\mathcal{G})$ modified Gauss-Bonnet gravity is investigated. It is shown that in $f(\mathcal{G})$ gravity models with non-minimal coupling to matter, particles experience an extra force normal to their four-velocities and as a result move along non- geodesic world-lines. The explicit form of the extra force depends on the function of the Gauss-Bonnet term included in coupling term. The effects of this force on the relative accelerations of particles are studied.

References in corpus (21)

• Extra force in $f(R)$ modified theories of gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Can dark energy evolve to the Phantom?
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Construction of cosmologically viable f(G) gravity models
• The Cosmology of Modified Gauss-Bonnet Gravity
• From inflation to dark energy in the non-minimal modified gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Lyapunov indices with two nearby trajectories in a curved spacetime
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Solar system constraints on R${}^n$ gravity
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Topological deformation of isolated horizons
• Post-Newtonian expansion for Gauss-Bonnet Gravity
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• Geodesic Congruences in the Palatini f(R) Theory
• A Note on the Viability of Gauss-Bonnet Cosmology
• The phase-space of generalized Gauss-Bonnet dark energy
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications
• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly

Cited by in corpus (22)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• f(R,T) gravity
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Generalized curvature-matter couplings in modified gravity
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• Energy conditions in $f(R,G)$ gravity
• Energy conditions in modified Gauss-Bonnet gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Conservation laws in gravitational theories with general nonminimal coupling
• Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
• Tracing the cosmic history by Gauss-Bonnet gravity
• Dynamical Analysis of Self-gravitating Stars in Modified Gauss-Bonnet Gravity
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Lessons from $f(R,R_c^2,R_m^2,L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
• Stellar Filaments in Self-Interacting Brans-Dicke Gravity
• Impulsive gravitational waves of massless particles in extended theories of gravity
• Acceleration of the universe in matter dominant era by conformal symmetry breaking