Physics
Scientific paper
Nov 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009phrvd..80j3002g&link_type=abstract
Physical Review D, vol. 80, Issue 10, id. 103002
Physics
3
Relativity And Gravitation, Initial Value Problem, Existence And Uniqueness Of Solutions, Canonical Formalism, Lagrangians, And Variational Principles, Spacetime Topology, Causal Structure, Spinor Structure
Scientific paper
In this work we derive the analytical solution of the geodesic equations of Gödel’s universe for both particles and light in a special set of coordinates, which reveals the physical properties of this spacetime in a very transparent way. We also recapitulate the equations of isometric transport for points and derive the solution for Gödel’s universe. The equations of isometric transport for vectors are introduced and solved. We utilize these results to transform different classes of curves along Killing vector fields. In particular, we generate nontrivial closed timelike curves from circular closed timelike curves. The results can serve as a starting point for egocentric visualizations in the Gödel universe.
Buser Michael
Grave Frank
Möller Thomas
Schleich Wolfgang P.
Wunner Günter
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