A Spacetime in Toroidal Coordinates

J. P. Krisch; E. N. Glass

doi:10.1063/1.1580999

A Spacetime in Toroidal Coordinates

广义相对论与量子宇宙学 2009-11-10 v1

作者: J. P. Krisch , E. N. Glass

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

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.

关键词

general relativity static spherically symmetric solutions in general relativity spacetime geometry

引用

@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}
}

备注

to appear in J. Math. Phys

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