General relativistic gravitational field of a rigidly rotating disk of dust: Axis potential, disk metric, and surface mass density

Details General relativistic gravitational field of a rigidly rotating disk of dust: Axis potential, disk metric, and surface mass density General relativistic gravitational field of a rigidly rotating disk of dust: Axis potential, disk metric, and surface mass density

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvl..73.2166n&link_type=abstract

Physical Review Letters, Volume 73, Issue 16, October 17, 1994, pp.2166-2168

Physics

51

Exact Solutions, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Relativity And Gravitation

Scientific paper

In a recent paper we described the general relativistic gravitational field of a rigidly rotating disk of dust in terms of two linear integral equations (a ``small'' one and a ``big'' one). Here we present the exact solution to the small integral equation. The Ernst potential on the symmetry axis, the disk metric, as well as the surface mass density are given up to quadratures in terms of the scrP function of Weirstrass.

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