Shell sources of stationary axisymmetric gravitational fields

Details Shell sources of stationary axisymmetric gravitational fields Shell sources of stationary axisymmetric gravitational fields

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..173b&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, Feb. 1986, p. 173-191.

Physics

4

Gravitational Fields, Hyperspaces, Angular Momentum, Monopoles, Oblate Spheroids, Prolate Spheroids, Space-Time Functions

Scientific paper

A number of solutions for material shell sources of stationary axisymmetric gravitational fields are presented. Explicit solutions are found for shells lying on equipotential hypersurfaces (gtt - const) and generating static 'monopole' fields in prolate and oblate spheroidal coordinates (Zipoy-Voorhees fields). Numerical solutions are found for shells lying on hypersurfaces of constant gphi-t/g sub phi-phi and generating Kerr- and Tomimatsu-Sato (delta = 2) fields. The shells have minimum areas allowed by the energy conditions of Hawking and Ellis.

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