Traceless stress-energy and traversable wormholes

A one-parameter family of static and spherically symmetric solutions to Einstein equations with a traceless energy-momentum tensor is found. When the nonzero parameter $β$ lies in the open interval $(0,1)$ one obtains traversable Lorentzian wormholes. One also obtains naked singularities when either $β< 0$ or $β> 1$ and the Schwarzschild black hole for $β= 1$.

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