Description of the free motion with momentums in Godel's universe
Balazs Barany, Attila Andai
TL;DR
This paper analyzes geodesic motion in Godel's universe using conserved quantities, providing conditions for geodesics and validating results through numerical simulations.
Contribution
It offers a necessary and sufficient condition for geodesic curves in Godel's universe based on conserved quantities, enhancing understanding of its geometry.
Findings
Derived a condition for geodesic curves in Godel's universe.
Validated theoretical results with numerical simulations.
Provided a practical method to compute geodesics from initial data.
Abstract
We study the geodesic motion in Godel's universe, using conserved quantities. We give a necessary and sufficient condition for curves to be geodesic curves in terms of conserved quantities, which can be computed from the initial values of the curve. We check our result with numerical simulations too.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Cosmology and Gravitation Theories