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New Horizons in Mathematical Physics
NHMP > Volume 4, Number 3, December 2020

On the Nature of Exotic Matter in Morris-Thorne Wormholes

Download PDF  (118.1 KB)PP. 29-32,  Pub. Date:January 12, 2021
DOI: 10.22606/nhmp.2020.43001

Author(s)
Peter K F Kuhfittig
Affiliation(s)
Department of Mathematics, Milwaukee School of Engineering, Milwaukee, Wisconsin 53202-3109, USA
Abstract
It is well known that phantom energy, which is characterized by the equation of state p = ωρ, ω < −1, can support Morris-Thorne wormholes since it leads to a violation of the null energy condition. The purpose of this note is to show that the converse is also true in the following sense: for a typical shape function, the equation of state of exotic matter in the vicinity of the throat is given by p↓r = ωρ, ω < −1, where pr is the radial pressure.
Keywords
Morris-Thorne wormholes, exotic matter, phantom energy
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