New Horizons in Mathematical Physics

Download PDF (368.1 KB) PP. 14 - 18 Pub. Date: June 23, 2017

DOI: 10.22606/nhmp.2017.11002

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

This paper presents a new wormhole solution by assuming that a homogeneously distributed fluid with equation of state p = ωρ can be adapted to an anisotropic spacetime such as a wormhole and that this spacetime admits a one-parameter group of conformal motions. The pressure p in the equation of state becomes the lateral pressure pt instead of the radial pressure pr, as assumed in previous studies. Given that pt = ωρ, pr is then determined from the Einstein field equations. A wormhole solution can be obtained only if ω < −1 or 0 < ω < 1. Since the former case corresponds to phantom dark energy, which has been the subject of earlier studies, we concentrate mainly on the latter. This case implies that given the above conditions, dark matter can support traversable wormholes.

Wormholes, conformal symmetry, perfect fluid.

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