MG15 - Talk detail |
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Participant |
AlKindi, Fatma | |||||||
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Institution |
Sultan Qaboos University - AlKhoudh - AlSeeb - Muscat - Oman | |||||||
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Session |
ES1 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Lie Point Symmetries Of The Geodesic Equations Of The Gödel’s Metric | |||||
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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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