General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions

Preprint

14 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0302060

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.

Keywords

RELATIVISTIC GRAVITATIONAL
ULTRAELLIPTIC FUNCTIONS
RIGIDLY ROTATING DISK
GENERAL RELATIVISTIC
GRAVITATIONAL FIELD
ULTRAELLIPTIC

All Related Versions

Version 1, 2003-02-14, ArXiv
Published version: Physical Review Letters, 75 (17), 3046.

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