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PreprintCC BY-NC-ND 4.0arXiv

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

Abstract

This study explores asymptotically flat wormhole solutions in f(Q,T)=αQ+ βT gravity, expanding upon our prior work (arXiv:2602.00527v1) with matter Lagrangian density, Lm=−P . Here, we examine the implications of employing Lm=−T and Lm=ρ. The field equations, derived via action variation, share a common general structure but are fundamentally dictated by the parameters α and β through the coefficients Ai. 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 Lm 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 Lm.

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BibTeX
@misc{nasirimoghadam2026wormholes,
  title = {{Wormholes in $f(Q,T)$ gravity with different matter Lagrangian density}},
  author = {Soudabe Nasirimoghadam and Foad Parsaei and Sara Rastgoo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.20980},
  eprint = {2605.20980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.20980},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Wormholes in f(Q,T) gravity with different matter Lagrangian density
AU  - Soudabe Nasirimoghadam
AU  - Foad Parsaei
AU  - Sara Rastgoo
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2605.20980
UR  - https://arxiv.org/abs/2605.20980
AB  - This study explores asymptotically flat wormhole solutions in f(Q,T)=αQ+ βT 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=ρ. The field equations, derived via action variation, share a common general structure but are fundamentally dictated by the parameters α and β 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.
ER  -