Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories

Abstract

We obtain traversable wormhole and time machine solutions of the field equations of an alternative of gravity with non-minimally curvature-matter coupling. Our solutions exhibit a non-trivial redshift function and allow for matter that satisfy the dominant energy condition.

Revtex4, 7 pages. Version to match the one to appear in Physical Review D

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• Traversable Wormholes in $f(R,T)$ Gravity
• On the consistency of non-minimally coupled f(R) gravity
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• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
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• Traversable Lorentzian wormhole on the Shtanov-Sahni braneworld with matter obeying the energy conditions