Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1848718 | Physics Letters B | 2016 | 6 Pages |
In this paper we study static spherically symmetric wormhole solutions sustained by matter sources with isotropic pressure. We show that such spherical wormholes do not exist in the framework of zero-tidal-force wormholes. On the other hand, it is shown that for the often used power-law shape function there are no spherically symmetric traversable wormholes sustained by sources with a linear equation of state p=ωρp=ωρ for the isotropic pressure, independently of the form of the redshift function ϕ(r)ϕ(r). We consider a solution obtained by Tolman at 1939 for describing static spheres of isotropic fluids, and show that it also may describe wormhole spacetimes with a power-law redshift function, which leads to a polynomial shape function, generalizing a power-law shape function, and inducing a solid angle deficit.