Wormholes in $f(Q,T)$ gravity with different matter Lagrangian density

TL;DR

This paper investigates asymptotically flat wormhole solutions in $f(Q,T)$ gravity with various matter Lagrangians, revealing that different matter choices significantly influence the geometry and energy conditions of the solutions.

Contribution

It extends previous work by analyzing how different matter Lagrangians affect wormhole solutions in $f(Q,T)$ gravity, highlighting the dependence of geometry and energy conditions on matter modeling.

Findings

Non-exotic wormhole solutions exist for all matter Lagrangians considered.

Different matter Lagrangians can produce the same shape function with varied fluid configurations.

Energy conditions and physical properties depend critically on the choice of matter Lagrangian.

Abstract

This study explores asymptotically flat wormhole solutions in $f(Q,T)=\alpha Q+ \beta T$ gravity, expanding upon our prior work (arXiv:2602.00527v1) with matter Lagrangian density, $L_m=-P$ . Here, we examine the implications of employing $Lm=-T$ and $L_m=\rho$. The field equations, derived via action variation, share a common general structure but are fundamentally dictated by the parameters $\alpha$ and $\beta$ through the coefficients $A_i$. Solutions with linear and asymptotically linear equation of state are explored. We conclude that non-exotic asymptotically flat wormhole solutions exist for all considered matter Lagrangian densities. A key outcome is the demonstration that different $L_m$ choices enable the same shape function to be supported by varied fluid configurations, or vice versa, identical fluids to yield different geometries. The energy conditions and physical characteristics of these solutions are shown to be distinct and critically dependent on the selected $L_m$.