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Abstract: An exact solution of Einstein-s field equations in empty space first found in1985 by Quevedo and Mashhoon is analyzed in detail. This solution generalizesKerr spacetime to include the case of matter with arbitrary mass quadrupolemoment and is specified by three parameters, the mass $M$, the angular momentumper unit mass $a$ and the quadrupole parameter $q$. It reduces to the Kerrspacetime in the limiting case $q=0$ and to the Erez-Rosen spacetime when thespecific angular momentum $a$ vanishes. The geometrical properties of such asolution are investigated. Causality violations, directional singularities andrepulsive effects occur in the region close to the source. Geodesic motion andaccelerated motion are studied on the equatorial plane which, due to thereflection symmetry property of the solution, turns out to be also a geodesicplane.



Autor: Donato Bini, Andrea Geralico, Orlando Luongo, Hernando Quevedo

Fuente: https://arxiv.org/







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