Expanding Lorentzian Wormholes in R2 Gravity

Physics

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Scientific paper

We present traversable, Lorentzian wormholes in the framework of R^{2} gravity. These wormholes are obtained by assuming constant Ricci scalar and trace-less equation of state. The metric is asymptotically RW, and locally that of a Lorentzian wormhole. Dynamics of the cosmological background, as well as the expanding wormhole are discussed. Weak energy condition near the wormhole throat is also examined. It is shown that the positive energy density condition can be satisfied all-over a spacelike hypersurface at large enough cosmological times and small enough, positive cosmological constant.

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