Possible wormholes in generalized geometry–matter coupling gravity induced by the Dekel–Zhao dark matter profile
Errehymy A. Donmez O. Syzdykova A. Myrzakulov K. Muminov S. Dauletov A. Rayimbaev J.
September 2025Academic Press Inc.
Annals of Physics
2025#480
In the late 1980s, Morris and Thorne led in theoretical physics by creating solutions to wormholes and formulating the crucial requirements for safe traversability of wormholes. They found that exotic matter must meet the requirement Pr+ρ<0, where Pr is radial pressure and ρ is energy density. This is a rudimentary grasp of our understanding of general relativity. In this paper, we continue their excellent work by looking at how to build traversable wormhole solutions in an extended theory of gravity. We adopt a process of linearly modifying the matter Lagrangian and the energy–momentum tensor with some coupling strengths λ and χ. This may be considered as a special case of linear f(R,T) gravity with matter coupling variability or as an additively separable simple f(R,Lm,T) model. We undertake a detailed analysis of static wormhole solutions with a constant redshift function. This allows us to present our results as a first-order approximation in the f(R,Lm,T) scenario. We derive the wormhole shape function from the Dekel–Zhao dark matter distribution in such a way that our solutions satisfy the needed conditions for traversability as well as the requirement of exotic matter. This is particularly exciting as it shows that wormholes in f(R,Lm,T) gravity can sustain both exotic as well as ordinary matter. To ensure that the shape function meets the requirement of flaring-out and is asymptotically flat, we place some constraints on the couplings. We also examine the gravitational lensing effects, which exhibit a repulsive gravitational force that appears in our extended gravity for positive couplings. Lastly, we verify the stability of our wormhole solutions in the Tolman–Oppenheimer–Volkoff (TOV) formalism, solidifying their theoretical support and opening future research doors ajar for further exploration into the fascinating realm of gravitational physics.
Dekel–Zhao dark matter distributions , f(R, Lm, T) gravity , Wormholes
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Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ 1096, Azerbaijan
College of Engineering and Technology, American University of the Middle East, Egaila, 54200, Kuwait
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
Alfraganus University, Yukori Karakamish Street 2a, Tashkent, 100190, Uzbekistan
New Uzbekistan University, Movarounnahr Street 1, Tashkent, 100007, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
Astrophysics Research Centre
Center for Theoretical Physics
College of Engineering and Technology
Department of General and Theoretical Physics
Mamun University
Alfraganus University
New Uzbekistan University
Urgench State University
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