MG15 - Talk detail

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Abstract

Lie point symmetries of the geodesic equations of the Gödel’s metric are found. These form a ten-dimensional Lie algebra which appears to be direct sum of sl(1,3) and a four-dimensional radical part. The Lie algebra contains a maximal seven-dimensional solvable sub-algebra. It also contains five dimensional subalgebra of isometries of the metric. These are then used to reduce the order of the geodesic system by one. The time-like trajectories in the Gödel’s metric are derived followed by their graphs in the (r, φ) plane.

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