Quadrupolar gravitational fields described by the q-metric
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We investigate the Zipoy-Voorhees metric ($q-$metric) as the simplest static, axially symmetric solution of Einstein's vacuum field equations that possesses as independent parameters the mass and the quadrupole moment. In accordance with the black holes uniqueness theorems, the presence of the quadrupole completely changes the geometric properties of the corresponding spacetime that turns out to contain naked singularities for all possible values of the quadrupole parameter. The naked singularities, however, can be covered by interior solutions that correspond to perfect fluid sources with no specific equations of state. We conclude that the $q-$metric can be used to describe the entire spacetime generated by static deformed compact objects.
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Forward citations
Cited by 2 Pith papers
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Approaching the surface of an Exotic Compact Object
Near an Exotic Compact Object surface, vacuum Einstein equations yield chaotic oscillations with walls becoming cliffs, driving runaway squeezing that continues to fuzzball monopoles in string theory.
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Analytic thin disks and rings in a class of nonasymptotically flat static spacetimes
External quadrupolar distortion imprints on orbital dynamics and accretion structure in thin disks around deformed compact objects, with the radiating region's outer edge tied to the radiation-to-gas pressure transition.
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