Wormhole Models and Energy Conditions in $f\left(\mathrm{ℛ}\right)$ Gravity with the Hu–Sawicki Model

Abstract

In this recent study, we shall investigate the wormhole models with a Hu–Sawicki model in the framework of f ℛ gravity. Spherically static symmetric space-time is considered to construct wormhole models with the anisotropic fluid distribution. The traceless matter is discussed by imposing a particular equation of state. To address the important conditions of the shape function of the wormhole geometry, we have used the particular values of the involved parameters. Furthermore, different energy conditions are discussed to check the nature of matter against two specific models. The null energy condition is observed to be violated for both of the models. It is mentioned that our inquired results are acceptable.

On the existence and stability of traversable wormhole solutions in modified theories of gravity

“…We solved this equation numerically (there is no possibility to solve this equation algebraically) with initial conditions b(10 −2 ) = 10 −3 , b (10 −2 ) = 2 × 10 −4 [22]. As well, for our MOG shape function, we have following flaring-out condition [23]:…”