A Spacetime in Toroidal Coordinates
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
We present an exact solution of Einstein's field equations in toroidal coordinates. The solution has three regions: an interior with a string equation of state; an Israel boundary layer; an exterior with constant isotropic pressure and constant density, locally isometric to anti-de Sitter spacetime. The exterior can be a cosmological vacuum with negative cosmological constant. The size and mass of the toroidal loop depend on the size of the cosmological constant.
Keywords
Cite
@article{arxiv.gr-qc/0303110,
title = {A Spacetime in Toroidal Coordinates},
author = {J. P. Krisch and E. N. Glass},
journal= {arXiv preprint arXiv:gr-qc/0303110},
year = {2009}
}
Comments
to appear in J. Math. Phys