Isaac Scientific Publishing

New Horizons in Mathematical Physics

On the Nature of Exotic Matter in Morris-Thorne Wormholes

Download PDF (118.1 KB) PP. 29 - 32 Pub. Date: December 31, 2020

DOI: 10.22606/nhmp.2020.43001


  • Peter K F Kuhfittig*
    Department of Mathematics, Milwaukee School of Engineering, Milwaukee, Wisconsin 53202-3109, USA


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.


Morris-Thorne wormholes, exotic matter, phantom energy


[1] 1. M.S. Morris and K.S. Thorne, “Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity,” Amer. J. Phys. 56, pp. 395-412 (1988).

[2] 2. A.G. Riess et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” Astron. J. 116, pp. 1009-1038 (1988).

[3] 3. S. Perlmutter, M.S. Turner and M. White, “Constraining dark energy with Type 1a supernovae and large-scale structure,” Phys. Rev. Lett. 83, pp. 670-673 (1999).

[4] 4. S. Sushkov, “Wormholes supported by a phantom energy,” Phys. Rev. D 71, ID: 043520 (2005).

[5] 5. F.S.N. Lobo, “Phantom energy traversable wormholes,” Phys. Rev. D 71, ID: 084011 (2005).

[6] 6. S.V. Sushkov and S.-W. Kim, “Cosmological evolution of a ghost scalar field,” Gen. Rel. Grav. 36, pp. 1671-1678 (2004).

[7] 7. P.K.F. Kuhfittig, “Accounting for the large radial tension in Morris-Thorne wormholes,” Eur. Phys. J. Plus 135, ID: 510 (2020).