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ES1 - Exact Solutions in Four and Higher Dimensions: Mathematical Aspects

Speaker

AlKindi, Fatma

Coauthors

Ziad, Muhammad

Talk Title

Lie Point Symmetries Of The Geodesic Equations Of The Gödel’s Metric

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.

Talk view

ES1-823AL664MA.pdf

 

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