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Non-spherical sources of static gravitational fields: investigating the boundaries of the no-hair theorem

L. Herrera·G. Magli·D. Malafarina
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Abstract

A new, globally regular model describing a static, non spherical gravitating object in General Relativity is presented. The model is composed by a vacuum Weyl--Levi-Civita special field - the so called gamma metric - generated by a regular static distribution of mass-energy. Standard requirements of physical reasonableness such as, energy, matching and regularity conditions are satisfied. The model is used as a toy in investigating various issues related to the directional behavior of naked singularities in static spacetimes and the blackhole (Schwarschild) limit.

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L. Herrera, G. Magli, D. Malafarina. 2004-07-09. Non-spherical sources of static gravitational fields: investigating the boundaries of the no-hair theorem. https://doi.org/10.1007/s10714-005-0120-1

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