2001/02/06 by E. Kyriakopoulos, Kyriakopoulos, E.
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0102021
arxiv created 2001/02/06 · openalex publication_date 2001/02/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.