Bäcklund Transformations of Einstein’s Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid

نویسنده

  • E. Kyriakopoulos
چکیده

Clairin’s method of obtaining Bäcklund transformations is applied to Einstein’s field equations for the interior of a uniformly rotating stationary axisymmetric perfect fluid. It is shown that for arbitrary pressure p and mass density μ the method does not give non-trivial Bäcklund transformations, while if μ+3p = 0 it gives the transformation of Ehlers. PACS number(s): 04.20.Jb, 04.20.Ex

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Einstein’s Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid

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تاریخ انتشار 2008