Traversable Wormholes in (2+1) and (3+1) Dimensions with a Cosmological Constant

Details Traversable Wormholes in (2+1) and (3+1) Dimensions with a Cosmological Constant Traversable Wormholes in (2+1) and (3+1) Dimensions with a Cosmological Constant

1994-04-25

arxiv.org/abs/gr-qc/9404046v1

Int.J.Mod.Phys. D4 (1995) 231-246

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pgs. WATPHYS TH-93/06

Scientific paper

10.1142/S021827189500017X

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the wormhole's spacetime curvature. Although the presence of a cosmological constant modifies to some extent the type of matter permitted (for example it is possible to have a positive energy density for the material threading the throat of the wormhole in $(2+1)$ dimensions), the material must still be ``exotic'', that is matter with a larger radial tension than total mass-energy density multiplied by $c^2$. Two specific solutions are applied to the general cases and a partial stability analysis of a $(2+1)$ dimensional solution is explored.

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