General form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fields

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dc.contributor.authorJyoti, Divya
dc.contributor.authorKumar, Sachin
dc.date.accessioned2024-01-21T10:35:50Z
dc.date.accessioned2024-08-13T11:17:05Z
dc.date.available2024-01-21T10:35:50Z
dc.date.available2024-08-13T11:17:05Z
dc.date.issued2023-06-24T00:00:00
dc.description.abstractThe invariant non-static solutions of Einstein�s vacuum field equations, corresponding to the most general form of axially symmetric stationary line element that represents a non conformally flat semi-Riemannian spacetime in cylindrical coordinates, are investigated. Lie symmetry method is used for symmetry reduction as well as for obtaining exact solutions in terms of arbitrary functions. The conservation laws are obtained for vacuum equations in axially symmetric gravitational fields. The solutions of Lewis metric and Chandrasekhar metric, are derived from the obtained solutions. By considering the possibilities of arbitrary functions, the graphical behaviour of the solutions is also shown. � 2023 IOP Publishing Ltd.en_US
dc.identifier.doi10.1088/1361-6382/acdb3e
dc.identifier.issn2649381
dc.identifier.urihttps://kr.cup.edu.in/handle/32116/3447
dc.identifier.urlhttps://iopscience.iop.org/article/10.1088/1361-6382/acdb3e
dc.language.isoen_USen_US
dc.publisherInstitute of Physicsen_US
dc.subjectaxially symmetric gravitational fieldsen_US
dc.subjectconservation lawsen_US
dc.subjectEinstein equationen_US
dc.subjectinvariant solutionsen_US
dc.subjectlie symmetryen_US
dc.subjectvacuumen_US
dc.titleGeneral form of axially symmetric stationary metric: exact solutions and conservation laws in vacuum fieldsen_US
dc.title.journalClassical and Quantum Gravityen_US
dc.typeArticleen_US
dc.type.accesstypeClosed Accessen_US

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