Publication:
New first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors

dc.contributor.authorChinea Trujillo, Francisco Javier
dc.date.accessioned2023-06-20T19:15:17Z
dc.date.available2023-06-20T19:15:17Z
dc.date.issued1998-02
dc.description© 1998 IOP Publishing Ltd. Financial support by Direccion General de Enseñánza Superior, Spain (Project PB95-0371) is gratefully acknowledged.
dc.description.abstractA new first integral for the equations corresponding to twisting type-N vacuum gravitational fields with two non-commuting Kilting vectors is introduced. A new reduction of the problem to a complex second-order ordinary differential equation is given. Alternatively, the mentioned first integral can be used in order to provide a first integral of the second-order complex equation introduced in a previous treatment of the problem.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDireccion General de Enseñánza Superior, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/28871
dc.identifier.citation[1] Debney G C, Kerr R P and Schild A 1969 J. Math. Phys. 10 1842 [2] Hauser I 1974 Phys. Rev. Lett. 33 1112 Hauser I 1974 Phys. Rev. Lett. 33 1525 (erratum) [3] Hauser I 1978 J. Math. Phys. 19 661 [4] Ernst F J and Hauser I 1978 J. Math. Phys. 19 1816 [5] Halford W D 1979 J. Math. Phys. 20 1115 [6] Collinson C D 1980 J. Math. Phys. 21 2601 [7] McIntoshCBG 1985 Class. Quantum Grav. 2 87 [8] Stephani H and Herlt E 1985 Class. Quantum Grav. 2 L63 [9] Chinea F J 1988 Class. Quantum Grav. 5 135 [10] Chinea F J 1988 Phys. Rev. D 37 3080 [11] Plebánski J F and Przanowski M 1991 Phys. Lett. 152A 257 [12] Herlt E 1991 Gen. Rel. Grav. 23 477 [13] Ludwig G and Yu Y B 1992 Gen. Rel. Grav. 24 93 [14] Stephani H 1993 Class. Quantum Grav. 10 2187 [15] Finley J D III, Plebánski J F and Przanowski M 1994 Class. Quantum Grav. 11 157 [16] Hoenselaers C, Ferwagner R and Schief W 1994 Relativity Today, Proc. 4th Hungarian Relativity Workshop ed R P Kerr and Z Perjes (Budapest: Akadémiai Kiadó) p 47 [17] Ludwig G and Edgar S B 1996 Gen. Rel. Grav. 28 707 [18] Edgar S B and Ludwig G 1997 Gen. Rel. Grav. 29 19 [19] Finley J D III, Plebánski J F and Przanowski M 1997 Class. Quantum Grav. 14 489 [20] Chinea F J 1984 Phys. Rev. Lett. 52 322 [21] Chinea F J and Fernandez-Jambrina L 1997 in preparation
dc.identifier.doi10.1088/0264-9381/15/2/011
dc.identifier.issn0264-9381
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0264-9381/15/2/011
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/pdf/gr-qc/9801008v1.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59446
dc.issue.number2
dc.journal.titleClassical and quantum gravity
dc.language.isoeng
dc.page.final371
dc.page.initial367
dc.publisherIOP Publishing Ltd
dc.relation.projectIDProject PB95-0371
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.ucmFísica matemática
dc.titleNew first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors
dc.typejournal article
dc.volume.number15
dspace.entity.typePublication
relation.isAuthorOfPublicatione4399503-cd94-463f-9f57-413f91e12fc8
relation.isAuthorOfPublication.latestForDiscoverye4399503-cd94-463f-9f57-413f91e12fc8
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