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A Spacetime in Toroidal Coordinates

J. P. Krisch·E. N. Glass
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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.

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J. P. Krisch, E. N. Glass. 2003-03-27. A Spacetime in Toroidal Coordinates. https://doi.org/10.1063/1.1580999

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