<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="sans-serif">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> gravity wormholes sourced by a phantom scalar field

Abstract

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

Topics & Concepts