Use of conformal, mapping to construct new solutions of the Einstein equations
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A method is obtained for constructing new solutions of the Einstein equations from known solutions, beginning with the structure of the Einstein tensor and using conformai mapping. The sollowing cases are considered: transformation of vacuum solutions into hydrodynamic solutions and the transformation of hydrodynamic solutions into solutions of the same type. A necessary and sufficient condition, imposed on the vacuum metric, is found which guarantees that solutions with a hydrodynamic energy-momentum tensor will be produced from vacuum solutions.
KeywordsEinstein Equation Vacuum Solution Einstein Tensor Hydrodynamic Solution Conformai Mapping
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