B\"{a}cklund Transformations of Einstein's Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid

Kyriakopoulos, E

dc.contributor.author	Kyriakopoulos, E	en
dc.date.accessioned	2014-03-01T01:50:42Z
dc.date.available	2014-03-01T01:50:42Z
dc.date.issued	2001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26075
dc.relation.uri	http://arxiv.org/abs/gr-qc/0102021	en
dc.title	B\"{a}cklund Transformations of Einstein's Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid	en
heal.type	journalArticle	en
heal.publicationDate	2001	en
heal.abstract	Clairin's method of obtaining B\"{a}cklund transformations is applied toEinstein's field equations for the interior of a uniformly rotating stationaryaxisymmetric perfect fluid. It is shown that for arbitrary pressure $p$ andmass density $\mu$ the method does not give non-trivial B\"{a}cklundtransformations, while if $\mu + 3p =0$ it gives the transformation of Ehlers.	en