Francisco S. N. Lobo, Foad Parsaei, Nematollah Riazi
A possible cause of the late-time cosmic acceleration is an exotic fluid with an equation of state lying within the phantom regime, i.e., $w=p/\rho <-1$. The latter violates the null energy condition, which is a fundamental ingredient in wormhole physics. Thus, cosmic phantom energy may, in principle, provide a natural fluid to support wormholes. In this work, we extend previous solutions, by carefully constructing a specific shape function which provides asymptotically flat wormhole solutions supported by the phantom energy equation of state, where the energy density and pressures vanish at large distances as $\sim 1/r^{n}$, with n>0. Thus, there is no need to surgically paste the interior wormhole geometry to an exterior vacuum spacetime. We also consider the "volume integral quantifier", which provides useful information regarding the total amount of energy condition violating matter, and show that, in principle, it is possible to construct asymptotically flat wormhole solutions with an arbitrary small amount of energy condition violating matter.
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http://arxiv.org/abs/1212.5806
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