A Spacetime in Toroidal Coordinates

Details A Spacetime in Toroidal Coordinates A Spacetime in Toroidal Coordinates

2003-03-27

arxiv.org/abs/gr-qc/0303110v1

J.Math.Phys. 44 (2003) 3046-3058

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in J. Math. Phys

Scientific paper

10.1063/1.1580999

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.

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