Test particle motion in modified gravity theories

Abstract

We derive the equations of motion of an electrically neutral test particle for modified gravity theories in which the covariant divergence of the ordinary matter energy-momentum tensor dose not vanish (i.e. ${\nabla }_{\mu }{T}^{\mu \nu }\ne 0$). In fact, we generalize the Mathisson-Papapetrou equations by deriving a general form for the equations of motion of a test particle. Furthermore, using the generalized Mathisson-Papapetrou equations, we investigate the equations of motion of a pole-dipole (spinning) particle in the context of Modified Gravity (MOG).

15 pages

References in corpus (6)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extra force in $f(R)$ modified theories of gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Fundamental parameter-free solutions in Modified Gravity
• Motion of test bodies in theories with nonminimal coupling
• Dynamics of test bodies with spin in de Sitter spacetime