On generating new solutions of the Ernst equation from old solutions

Kyriakopoulos, E

dc.contributor.author	Kyriakopoulos, E	en
dc.date.accessioned	2014-03-01T01:07:32Z
dc.date.available	2014-03-01T01:07:32Z
dc.date.issued	1989	en
dc.identifier.issn	0264-9381	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10062
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Particles & Fields	en
dc.title	On generating new solutions of the Ernst equation from old solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0264-9381/6/1/004	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0264-9381/6/1/004	en
heal.identifier.secondary	004	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	If E is an arbitrary generic solution of the Ernst equation and E its complex conjugate the most general expression E'=G(E, E, rho , z), is determined which is also a solution of this equation. If E is complex it is shown that G cannot depend on E and E simultaneously, and that the most general E' is the Ehlers transformation. Also it is proven that, if E is real, the most general E' is E'=(Ec+ic1ew)/(ic2E c+ew), where c, c1 and c2 are arbitrary real constants and w is an arbitrary real solution of the Laplace equation in the axially symmetric case. In addition two other expressions are given for E'. The three expressions can also be derived from the Ehlers transformation.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Classical and Quantum Gravity	en
dc.identifier.doi	10.1088/0264-9381/6/1/004	en
dc.identifier.isi	ISI:A1989R687000004	en
dc.identifier.volume	6	en
dc.identifier.issue	1	en
dc.identifier.spage	35	en
dc.identifier.epage	39	en