Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-02-26
Gen.Rel.Grav.41:1407-1435,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages, no figures, discussion of Pioneer anomaly removed
Scientific paper
10.1007/s10714-008-0713-6
We develop the kinematics in Matrix Gravity, which is a modified theory of gravity obtained by a non-commutative deformation of General Relativity. In this model the usual interpretation of gravity as Riemannian geometry is replaced by a new kind of geometry, which is equivalent to a collection of Finsler geometries with several Finsler metrics depending both on the position and on the velocity. As a result the Riemannian geodesic flow is replaced by a collection of Finsler flows. This naturally leads to a model in which a particle is described by several mass parameters. If these mass parameters are different then the equivalence principle is violated. In the non-relativistic limit this also leads to corrections to the Newton's gravitational potential. We find the first and second order corrections to the usual Riemannian geodesic flow and evaluate the anomalous nongeodesic acceleration in a particular case of static spherically symmetric background.
Avramidi Ivan G.
Fucci Guglielmo
No associations
LandOfFree
Kinematics in Matrix Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kinematics in Matrix Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinematics in Matrix Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-25291