New asymptotically flat phantom wormhole solutions

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/0. 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. In the second example, we analyze two equations of state, i. e. , pₑ=pₑ () and pₓ=pₓ (), where we consider a specific integrability condition in order to obtain exact asymptotically flat wormhole solutions. In the final example, we postulate a smooth energy density profile, possessing a maximum at the throat and vanishing at spatial infinity.