Geodesics in Lewis Spacetime
L.Herrera (Area de Fisica Teorica, Universidad de Salamanca, Spain),, N.O.Santos (Departamento de Astrofisica, Observatorio Nacional, Rio de, Janeiro, Brazil)
TL;DR
This paper analyzes the geodesic equations in Lewis spacetime, revealing how various parameters influence test particle motion and identifying a unique axial force without a Newtonian counterpart.
Contribution
It provides an explicit integration of geodesic equations in Lewis spacetime and highlights novel axial force effects dependent on spacetime parameters.
Findings
Identification of a force parallel to the axial axis without Newtonian analogue
Influence of spacetime parameters on test particle trajectories
Explicit solutions to geodesic equations in Lewis spacetime
Abstract
The geodesic equations are integrated for the Lewis metric and the effects of the different parameters appearing in the Weyl class on the motion of test particles are brought out. Particular attention deserves the appearance of a force parallel to the axial axis and without Newtonian analogue.
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