Bäcklund Transformations of Einstein’s Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid
نویسنده
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
منابع مشابه
Einstein’s Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid
We reduce Einstein’s field equations for the interior of a uniformly rotating, axisymmetric perfect fluid to a system of six second order partial differential equations for the pressure p the energy density μ and four dependent variables.Four of these equations do not depend on p and μ and the other two determine p and μ. PACS number(s): 04.20.Jb, 04.20.-q
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تاریخ انتشار 2008