On the solutions of field equations due to rotating bodies in General Relativity

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dc.contributor.authorKumar, Vikas
dc.contributor.authorKaur, Lakhveer
dc.date.accessioned2018-05-14T05:43:05Z
dc.date.available2018-05-14T05:43:05Z
dc.date.issued2017-12
dc.description.abstractA metric, describing the field due to bodies in stationary rotation about their axes and compatible with a stationary electromagnetic field, has been studied in present paper. Using Lie symmetry reduction approach we have herein examined, under continuous groups of transformations, the invariance of field equations due to rotation in General Relativity, that are expressed in terms of coupled system of partial differential equations. We have exploited the symmetries of these equations to derive some ansatz leading to the reduction of variables, where the analytic solutions are easier to obtain by considering the optimal system of conjugacy inequivalent subgroups. Furthermore, some solutions are considered by using numerical methods due to complexity of reduced ordinary differential equations.en_US
dc.identifier.citationSt. Petersburg Polytechnical University Journal: Physics and Mathematics 3 (2017) 352-358en_US
dc.identifier.uridoi.org/10.1016/j.spjpm.2017.10.009
dc.identifier.urihttp://hdl.handle.net/123456789/1336
dc.language.isoenen_US
dc.publisherPolytechen_US
dc.subjectGeneral Relativityen_US
dc.subjectElectromagnetic fielden_US
dc.subjectLie symmetry methoden_US
dc.subjectExact solutionsen_US
dc.titleOn the solutions of field equations due to rotating bodies in General Relativityen_US
dc.typeArticleen_US
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