Traceless stress-energy and traversable wormholes

Abstract

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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