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

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.

10 pages, 2 figures

References in corpus (3)

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• On the active gravitational mass of a non-spherical source leaving hydrostatic equilibrium
• Non spherical sources of strong gravitational fields out of hydrostatic equilibrium

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