Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions

Abstract

h i g h l i g h t s• The theoretical construction of Morris-Thorne wormholes retains complete control over the geometry at the expense of the stress-energy tensor.• The introduction of a barotropic equation of state fails to produce a solution even if the energy density is known.• The assumption of conformal symmetry fills the gap in the form of a complete wormhole solution. a b s t r a c tThe 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 p r = 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 −3 < 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.The restriction −3 < ω < −1 that arises in the present wormhole setting can be attributed to the assumption of conformal symmetry.

Static spherically symmetric wormholes with isotropic pressure

“…One may also follow a more conventional method used for finding solutions in general relativity, by prescribing the matter content with specific equations of state for the radial and/or the tangential pressures, and then solve Einstein's field equations in order to find the redshift * mcataldo@ubiobio.cl † luiliempi@udec.cl ‡ pablrodriguez@udec.cl and shape functions. The often used equation of state is the linear barotropic equation of state p r = ωρ, which relates the radial pressure with the energy density [2]. From the cosmological setting, such an equation of state is associated with phantom dark energy if ω < −1, and also may sustain traversable static wormholes [3,4].…”

Canonical acoustic thin-shell wormholes

“…The equation of state for the fluid according to the Van der Waals quintessence model can be written as [52] ψ = γσ 1 − Bσ − ασ 2 (46) where γ, B and α are constants. It follows that…”

Об Одной Кротовой Норе С Тонкой Оболочкой

“…В данном разделе для изучения устойчивости КНТО мы используем определенные газовые модели (линейный баротропный газ (ЛБГ) [47], [50], газ Чаплыгина (ГЧ) [51], [52], обобщенный газ Чаплыгина (ОГЧ) [53] и логарифмический газ (ЛГ) [20]). 4.1.…”