Donato Bini et al 2009 Class. Quantum Grav. 26 225006 doi:10.1088/0264-9381/26/22/225006
Donato Bini1,2, Andrea Geralico2,3, Orlando Luongo2,3,4 and Hernando Quevedo2,5
Show affiliationsAn exact solution of Einstein's field equations in empty space first found in 1985 by Quevedo and Mashhoon is analyzed in detail. This solution generalizes Kerr spacetime to include the case of matter with an arbitrary mass quadrupole moment and is specified by three parameters, the mass M, the angular momentum per unit mass a and the quadrupole parameter q. It reduces to the Kerr spacetime in the limiting case q = 0 and to the Erez–Rosen spacetime when the specific angular momentum a vanishes. The geometrical properties of such a solution are investigated. Causality violations, directional singularities and repulsive effects occur in the region close to the source. Geodesic motion and accelerated motion are studied on the equatorial plane which, due to the reflection symmetry property of the solution, also turns out to be a geodesic plane.
02.40.Hw Classical differential geometry
04.20.Gz Spacetime topology, causal structure, spinor structure
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 22 (21 November 2009)
Received 22 May 2009, in final form 14 September 2009
Published 20 October 2009
Donato Bini et al 2009 Class. Quantum Grav. 26 225006
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