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Snyder Like Modified Gravity in Newton's Spacetime by Leiva, Carlos is a scholarly article available to read on EtoBox.

What is Snyder Like Modified Gravity in Newton's Spacetime about?

This work is focused on searching a geodesic interpretation of the dynamics of a particle under the effects of a Snyder like deformation in the background of the Kepler problem. In order to accomplish that task, a newtonian spacetime is used. Newtonian spacetime is not a metric manifold, but allows to introduce a torsion free connection in order to interpret the dynamic equations of the deformed Kepler problem as geodesics in a curved spacetime. These geodesics and the curvature terms of the Riemann and Ricci tensors show a mass and a fundamental length dependence as expected, but are velocity independent. In this sense, the effect of introducing a deformed algebra is examinated and the corresponding curvature terms calculated, as well as the modifications of the integrals of motion.

Author

Leiva, Carlos

Published

2017

Language

EN