Wormholes in $f(R,T)=R+\lambda T+\lambda_1 T^2$ gravity

TL;DR

This paper investigates asymptotically flat wormhole solutions in a modified gravity framework, analyzing energy conditions and parameter constraints for different energy density scenarios.

Contribution

It provides new wormhole solutions in $f(R,T)$ gravity with specific parameter constraints and examines energy condition compliance for positive and negative energy densities.

Findings

Solutions with positive energy density satisfy all energy conditions.

Constraints on parameters $\lambda$, $\lambda_1$ are identified.

Both negative and positive energy density solutions are analyzed.

Abstract

This study explores asymptotically flat wormhole solutions within the framework of $f(R,T)$ gravity. We analyze $f(R,T)$ expressed as $f(R,T)=R+\lambda T+\lambda_1 T^2$. A linear equation of state is employed for both radial and lateral pressures, resulting in a power-law shape function. The investigation encompasses solutions characterized by both negative and positive energy densities. It has been determined that solutions with positive energy density comply with all energy conditions, specifically the null, weak, strong, and dominant energy conditions. Additionally, we identify constraints on the parameters $\lambda$, $\lambda_1$, and the parameters associated with the equation of state and shape function.