Ellipsoidal space-times, sources for the Kerr metric

DOI10.1016/0003-4916(78)90079-9zbMath0379.53008OpenAlexW2027871014MaRDI QIDQ1247601

Andrzej Krasiński

Publication date: 1978

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(78)90079-9

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Local differential geometry (53B99)

Related Items (17)

Source of the Kerr-Newman solution as a supersymmetric domain-wall bubble: 50 years of the problem ⋮ Slowly rotating perfect fluids with a cosmological constant ⋮ Rotating dust solutions of Einstein’s equations with three-dimensional symmetry groups. III. All Killing fields linearly independent of uα and wα ⋮ Regular interior solutions to the solution of Kerr which satisfy the weak and the strong energy conditions ⋮ A novel derivation of the rotating black hole metric ⋮ Embedding of a Demianski cavity with small rotation parameter in a perturbation of a Friedmann universe with cosmological constant ⋮ The ultrarelativistic limit of Kerr ⋮ Central behavior of rotating fluids ⋮ A rotating three component perfect fluid source and its junction with empty space-time ⋮ Kerr–Schild gravitational fields in matter and the Kerr-interior problem in general relativity ⋮ Globally regular solutions of Einstein's equations ⋮ On the axisymmetric metric generated by a rotating perfect fluid with the vacuum boundary ⋮ An exact stationary solution of the combined Einstein–Maxwell–Klein–Gordon equations ⋮ Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction ⋮ Relativistic disks as sources of the Kerr metric ⋮ Matching the Kerr solution on the surface of a rotating perfect fluid ⋮ The formation of non-Keplerian rings of matter about compact stars

Cites Work

• On fitting rotating bodies to exterior gravitational fields
• The commutation property of a stationary, axisymmetric system
• Covariant Conservation Laws in General Relativity
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Stationary gravitational fields due to single bodies
• Topology of Some Spheroidal Metrics
• Note on the Kerr Spinning-Particle Metric
• Maximal Analytic Extension of the Kerr Metric
• Schwarzschild Singularity
• Source of the Kerr Metric
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