Slowly rotating fluid balls of Petrov type D

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dc.creatorBradley, Michael
dc.creatorEriksson, Daniel
dc.creatorFodor, Gyula
dc.creatorRacz, Istvan
dc.date2006-12-07
dc.date.accessioned2026-07-07T10:22:03Z
dc.date.available2026-07-07T10:22:03Z
dc.descriptionThe second order perturbative field equations for slowly and rigidly rotating perfect fluid balls of Petrov type D are solved numerically. It is found that all the slowly and rigidly rotating perfect fluid balls up to second order, irrespective of Petrov type, may be matched to a possibly non-asymptotically flat stationary axisymmetric vacuum exterior. The Petrov type D interior solutions are characterized by five integration constants, corresponding to density and pressure of the zeroth order configuration, the magnitude of the vorticity, one more second order constant and an independent spherically symmetric second order small perturbation of the central pressure. A four-dimensional subspace of this five-dimensional parameter space is identified for which the solutions can be matched to an asymptotically flat exterior vacuum region. Hence these solutions are completely determined by the spherical configuration and the magnitude of the vorticity. The physical properties like equations of state, shapes and speeds of sound are determined for a number of solutions.
dc.description15 pages, 8 figures, 1 table
dc.identifierhttps://arxiv.org/abs/gr-qc/0612046
dc.identifierhttp://arxiv.org/abs/gr-qc/0612046
dc.identifierPhys.Rev.D75:024013,2007
dc.identifierdoi:10.1103/PhysRevD.75.024013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175382
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSlowly rotating fluid balls of Petrov type D
dc.typetext

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