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

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• Jeans analysis in modified gravity
• Propagation of Electromagnetic Waves in MOG: Gravitational Lensing
• Modified Gravity (MOG) fits to observed radial acceleration of SPARC galaxies
• NGC 1052-DF2 And Modified Gravity (MOG) Without Dark Matter
• Barred spiral galaxies in modified gravity theories
• Equations of motion in metric-affine gravity: A covariant unified framework
• The Train Wreck Cluster Abell 520 and the Bullet Cluster 1E0657-558 in a Generalized Theory of Gravitation
• On the cosmology of scalar-tensor-vector gravity theory
• Gravitational Waveform and Polarization from Binary Black Hole Inspiral in Dynamical Chern-Simons Gravity: From Generation to Propagation
• On the gravitational instability in the Newtonian limit of MOG
• Exact cosmological solutions for MOG
• The phase space analysis of modified gravity (MOG)
• Spinning particle orbits around a black hole in an expanding background
• Gravitational Theory of Cosmology, Galaxies and Galaxy Clusters
• Applying Modified Gravity (MOG) to the Lensing and Einstein Ring in Abell 3827
• Global stability of self-gravitating disks in modified gravity
• Linear cosmological perturbations in Scalar-tensor-vector gravity
• On the gravitational stability of the Maclaurin disk
• Spinning and Spinning Deviation Equations of Bi-metric Type Theories
• Gravitational Waves in Scalar-Tensor-Vector Gravity Theory