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

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

2001-02-06

arxiv.org/abs/gr-qc/0102021v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

Clairin's method of obtaining B\"{a}cklund 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 $\mu$ the method does not give non-trivial B\"{a}cklund
transformations, while if $\mu + 3p =0$ it gives the transformation of Ehlers.

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