Conservation Laws in Cylindrically Symmetric Marder type Spacetimes
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2019, Vol 7, Issue 1
Abstract
We classify here the well known cylindrically symmetric Marder type space-times by their respective maximal isometric groups which give different conservation laws. To find the maximal group of isometries in the above space-times, Killing equations are solved by direct integration technique. Five cases have been obtained in which the above symmetry exists when we use the quoted techniques in Killing equations. Dimensions of Killing Lie algebra are 3, 4, 4, 4 and 6 respectively in these cases. In first case law of conservation of linear momentum exists while in the remaining four cases both conservation laws of momentum present, that is, linear and angular.
Authors and Affiliations
Amjad Ali, et al.
Keywords
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