https://doi.org/10.1140/epjp/s13360-026-07659-9
Regular Article
Thermodynamics around new wormhole solutions in extended teleparallel gravity coupled with Euler-Heisenberg electrodynamics
1
Department of Mathematics, School of Science, University of Management and Technology, 54000, Lahore, Pakistan
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
4
Jadara University Research Center, Jadara University, Irbid, Jordan
5
Zhejiang Institute of Photoelectronics and Zhejiang Institute for Advanced Light Source, 321004, Jinhua, Zhejiang, China
6
College of Graduate Studies, Walailak University, 80160, Thasala, Nakhon Si Thammarat, Thailand
7
University of Tashkent for Applied Sciences, Str.Gavhar 1, 100149, Tashkent, Uzbekistan
8
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
9
College of Engineering and Technology, American University of the Middle East, 54200, Egaila, Kuwait
10
Department of Mathematical and Physical Sciences, University of Nizwa, Nizwa, Sultanate of Oman
11
New Uzbekistan University, Movarounnahr Str. 1, 100007, Tashkent, Uzbekistan
12
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
a
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b
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Received:
20
January
2026
Accepted:
4
April
2026
Published online:
6
May
2026
Abstract
We investigate the thermodynamic properties and dynamical stability of wormhole solutions within the framework of extended teleparallel gravity coupled with nonlinear Euler-Heisenberg electrodynamics, taking two redshift models. A viable shape function satisfying all Morris-Thorne geometric constraints is constructed, and the generalized first law of wormhole thermodynamics, together with the corresponding surface-gravity analog, is employed to derive key thermodynamic quantities. The analysis reveals distinctive features absent in black hole spacetimes: the wormhole temperature and its Hawking-like counterpart admit negative values, indicating a stable equilibrium sustained by exotic matter. Both the work density and total energy remain negative, preventing gravitational collapse, while the energy flux exhibits a persistent outward removal of energy, further confirming the exotic character of the supporting material. The specific heat shows a stable phase in the vicinity of the throat followed by a transition to instability at larger radii, reflecting the delicate thermodynamic balance. In addition, the energy emission spectrum increases with electric charge as a result of enhanced nonlinear electrodynamic effects, yet remains finite because of the absence of an event horizon. Overall, our results suggest that wormholes in this framework exhibit thermodynamically consistent behavior and may represent dynamically viable configurations, offering novel insights into horizonless exotic objects and the role of exotic matter in extended gravitational theories.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
