Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity

This study explores traversable wormhole solutions within the framework of f(T,T) gravity, a generalized teleparallel theory that extends f(T) gravity by incorporating the trace of the energy-momentum tensor T. Adopting Weitzenbock geometry, we derive the field equations for a linear f(T,T) model an...

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Main Authors: Yovqochev Pahlavon, Farruh Atamurotov, Abdelmalek Bouzenada, Ahmadjon Abdujabbarov, G. Mustafa
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Nuclear Physics B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325000914
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author Yovqochev Pahlavon
Farruh Atamurotov
Abdelmalek Bouzenada
Ahmadjon Abdujabbarov
G. Mustafa
author_facet Yovqochev Pahlavon
Farruh Atamurotov
Abdelmalek Bouzenada
Ahmadjon Abdujabbarov
G. Mustafa
author_sort Yovqochev Pahlavon
collection DOAJ
description This study explores traversable wormhole solutions within the framework of f(T,T) gravity, a generalized teleparallel theory that extends f(T) gravity by incorporating the trace of the energy-momentum tensor T. Adopting Weitzenbock geometry, we derive the field equations for a linear f(T,T) model and analyze Morris-Thorne wormhole geometries with two novel shape functions and a fractional redshift function. Violations of the null and strong energy conditions are illustrated, showing the presence of exotic matter near the wormhole throat, while the weak and dominant energy conditions are satisfied. Also, the effective potential for null and timelike geodesics reveals how particle trajectories depend on angular momentum, with deflection angle calculations demonstrating significant light bending near the throat. Numerical results show that increasing parameters in the shape functions enhance energy density and radial pressure violation, whereas larger redshift parameters reduce deflection angles at larger distances. Both shape function models support asymptotically flat and physically viable wormholes, with Model-I exhibiting stronger deflection effects.
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institution DOAJ
issn 0550-3213
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publishDate 2025-05-01
publisher Elsevier
record_format Article
series Nuclear Physics B
spelling doaj-art-91d69c5a683447a8bfcfdd260a5012a42025-08-20T03:17:28ZengElsevierNuclear Physics B0550-32132025-05-01101411688210.1016/j.nuclphysb.2025.116882Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravityYovqochev Pahlavon0Farruh Atamurotov1Abdelmalek Bouzenada2Ahmadjon Abdujabbarov3G. Mustafa4National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, UzbekistanUrgench State University, Kh. Alimdjan str. 14, Urgench 220100, Uzbekistan; Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, Baku AZ1096, Azerbaijan; Alfraganus University, Yukori Karakamish street 2a, Tashkent 100190, Uzbekistan; University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent 100149, UzbekistanLaboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University 12001, AlgeriaNew Uzbekistan University, Movarounnahr street 1, Tashkent 100000, Uzbekistan; Shahrisabz State Pedagogical Institute, Shahrisabz Str. 10, Shahrisabz 181301, UzbekistanDepartment of Physics, Zhejiang Normal University, Jinhua 321004, People's Republic of China; Zhejiang Institute of Photoelectronics & Zhejiang institute for Advanced Light Source, Jinhua 321004 People's Republic of China; Corresponding author.This study explores traversable wormhole solutions within the framework of f(T,T) gravity, a generalized teleparallel theory that extends f(T) gravity by incorporating the trace of the energy-momentum tensor T. Adopting Weitzenbock geometry, we derive the field equations for a linear f(T,T) model and analyze Morris-Thorne wormhole geometries with two novel shape functions and a fractional redshift function. Violations of the null and strong energy conditions are illustrated, showing the presence of exotic matter near the wormhole throat, while the weak and dominant energy conditions are satisfied. Also, the effective potential for null and timelike geodesics reveals how particle trajectories depend on angular momentum, with deflection angle calculations demonstrating significant light bending near the throat. Numerical results show that increasing parameters in the shape functions enhance energy density and radial pressure violation, whereas larger redshift parameters reduce deflection angles at larger distances. Both shape function models support asymptotically flat and physically viable wormholes, with Model-I exhibiting stronger deflection effects.http://www.sciencedirect.com/science/article/pii/S0550321325000914Traversable wormholesf(T,T) gravityEnergy conditionsDeflection angle
spellingShingle Yovqochev Pahlavon
Farruh Atamurotov
Abdelmalek Bouzenada
Ahmadjon Abdujabbarov
G. Mustafa
Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
Nuclear Physics B
Traversable wormholes
f(T,T) gravity
Energy conditions
Deflection angle
title Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
title_full Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
title_fullStr Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
title_full_unstemmed Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
title_short Deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
title_sort deflection angle around generic traversable wormhole solutions and energy conditions in extended teleparallel theory of gravity
topic Traversable wormholes
f(T,T) gravity
Energy conditions
Deflection angle
url http://www.sciencedirect.com/science/article/pii/S0550321325000914
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AT abdelmalekbouzenada deflectionanglearoundgenerictraversablewormholesolutionsandenergyconditionsinextendedteleparalleltheoryofgravity
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