Wormhole in $f(Q)$ gravity

TL;DR

This paper explores exact asymptotically flat wormhole solutions within the $f(Q)$ gravity framework, analyzing various models, equations of state, and their physical properties to understand wormhole viability in modified gravity.

Contribution

It introduces new wormhole solutions in $f(Q)$ gravity using four different $f(Q)$ forms and examines their physical and mathematical properties.

Findings

Certain models satisfy energy conditions.

Power-law shape functions lead to barotropic equations of state.

Solutions exhibit specific boundary and physical properties.

Abstract

In this paper, exact asymptotically flat wormhole solutions in the context of symmetric teleparallel gravity, i.e., $f(Q)$ theory of gravity, are investigated. Since modified theories of gravity provide new field equations, we have analyzed some possible wormhole solutions by using modified field equations. Four different forms of the $f(Q)$ function are considered then the shape function is calculated with some different equations of state. Also we have used a power-law shape function with these models, which lead to an asymptotically barotropic equation of state. Some physical and mathematical properties of the solutions, like energy conditions and boundary conditions, are addressed .