The Wahlquist metric cannot describe an isolated rotating body

DOI10.1088/0264-9381/17/2/306zbMath0961.83022arXivgr-qc/9910001OpenAlexW3098906124MaRDI QIDQ4947057

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Publication date: 6 June 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9910001

zbMATH Keywords

Wahlquist metricpower-series expansionexterior asymptotically flat vacuum regionisolated rotating body

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (13)

Slowly rotating perfect fluids with a cosmological constant ⋮ An approximate global solution of Einstein's equation for a rotating compact source with linear equation of state ⋮ Wahlquist's metric versus an approximate solution with the same equation of state ⋮ Towards an exact relativistic theory of Earth's geoid undulation ⋮ Robertson-Walker fluid sources endowed with rotation characterised by quadratic terms in angular velocity parameter ⋮ A rotating three component perfect fluid source and its junction with empty space-time ⋮ Slowly rotating charged fluid balls in the presence of a cosmological constant ⋮ Hidden symmetry and the separability of the Maxwell equation on the Wahlquist spacetime ⋮ Petrov types of slowly rotating fluid balls ⋮ An approximate global solution of Einstein's equations for a rotating finite body ⋮ The monodromy matrix method of solving an exterior boundary value problem for a given stationary axisymmetric perfect fluid solution ⋮ ANISOTROPIC FLUIDS IN THE CASE OF STATIONARY AND AXISYMMETRIC SPACES OF GENERAL RELATIVITY ⋮ Slowly, rotating non-stationary, fluid solutions of Einstein's equations and their match to Kerr empty space-time

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