Wormhole in f(R) gravity revisited

Abstract

In this paper, exact wormhole solutions in the context of f (R) theory of gravity are investigated. Since the Einstein field equations are modified in 3+1 dimensions in the f (R) theory of gravity, we have studied some possible solutions with different forms of shape function and f (R) function. We show that choosing f (R) or metric functions arbitrarily may lead to a conflict for wormhole solutions. Some previous solutions are discussed which verify the contradiction throughout the equations. We conclude that wormhole solutions in the context of f (R) gravity should be revisited.

A Review of Wormhole Stabilization in f(R) Gravity Theories

“…We started the discussion of f (R) theories in the Introduction. To recap, in f (R) theories [10,[18][19][20] R is replaced by f (R) as follows:…”

“…In this section of the review, we mainly follow the references [10,[18][19][20] to analyze the stability of MT wormhole in f (R) gravity theories. In Section 2.1, we obtained (22) for f (R) gravity theory.…”