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Wormholes with a barotropic equation of ...
Kuhfittig, Peter K. ...
Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions by Kuhfittig, Peter K. F. ( Author )
N.A
06-02-2015
The theoretical construction of a traversable wormhole proposed by Morris and Thorne maintains complete control over the geometry by assigning both the shape and redshift functions, thereby leaving open the determination of the stress-energy tensor. This paper examines the effect of introducing the linear barotropic equation of state pr=ωρ on the theoretical construction. If either the energy density or the closely related shape function is known, then the Einstein field equations do not ordinarily yield a finite redshift function. If, however, the wormhole admits a one-parameter group of conformal motions, then both the redshift and shape functions exist provided that ω<−1. In a cosmological setting, the equation of state p=ωρ, ω<−1, is associated with phantom dark energy, which is known to support traversable wormholes.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1502.02017
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