General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
arXiv:gr-qc/0302060 · doi:10.1103/PhysRevLett.75.3046
Abstract
In a recent paper we presented analytic expressions for the axis potential, the disk metric, and the surface mass density of the global solution to Einstein's field equations describing a rigidly rotating disk of dust. Here we add the complete solution in terms of ultraelliptic functions and quadratures.
5 pages, published in 1995 [Phys. Rev. Lett. 75 (1995) 3046]