f(R)f({\sf R}) Gravity Wormholes sourced by a Phantom Scalar Field

preprint2021arXivOpen access

Abstract

We derive an exact wormhole spacetime supported by a phantom scalar field in the context of f(R)f({\sf R}) gravity. Without specifying the form of the f(R)f({\sf R}) function, the scalar field self-interacts with a mass term potential that is derived from the scalar equation and the resulting f(R)f({\sf R}) model is purely supported by the scalar field and it is free of ghosts and avoids the tachyonic instability.

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