Classification of Cylindrically Symmetric Marder Type Spacetimes According to Their Proper Homothetic Vector Fields
Keywords:
proper homothetic vector fields, direct integration technique, Lie algebra.Abstract
In this paper cylindrically symmetric Marder type spacetimes are classified according to their proper homothetic vector fields. For the purpose, direct integration and algebraic techniques are used. After thorough investigation, the whole problem is divided into three main cases. Each one of these cases is further reduced into sub cases. It turns out that only in five sub cases proper homothetic vector field exists while the remaining sub cases give contradiction or there exist only Killing vector fields.
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