15589 10.1140/epjc/s10052-026-15589-0 567 128 On dynamical stringy asymptotic flat Einstein–Cartan–Kalb–Ramond and teleparallel wormholes Regular Article - Theoretical Physics Theoretical Physics 1 8 2026 3 21 2026 1 23 2026 3 16 2026 5 22 2026 5 22 The Author(s) 2026 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ . Funded by SCOAP3. 10052 86 86 5 5 L. C. Garcia de Andrade luizandra795@gmail.com https://ror.org/02shxwk22 Institute for Cosmology and Natural Philosophy Florijana Križevci Croatia Abstract Inspired by the investigation of Kalb–Ramond strings and hairy black holes by Duncan et al., in this paper we investigate two approaches to determine the existence of asymptotic flatness and how the presence of cosmic string axionic torsion hair affects wormholes and black holes. In the case of Einstein–Cartan–Kalb–Ramond (ECKR) gravity, it is shown that by assuming asymptotic flatness in ECKR equations, the KR vanishes at both sides far away from the wormhole throat, indicating the absence of torsion hair. On the other hand, in the case of teleparallel gravity, we show that in a Schwarzschild black hole with a cosmic string, by considering the cosmic string tension as constant, the torsion invariant vanishes, showing no signatures of torsion hair. When a dynamical cosmic string with variable string tension is introduced in torsional wormholes, it is shown that no asymptotic flatness is obtained, and torsion does not vanish asymptotically. This indicates that dynamical cosmic strings must generate an imprint of torsion hair at wormholes away from the throat. We argue that in the future, the ideas here may be used to detect torsion from an astrophysical point of view. L. C. Garcia de Andrade: On leave of absence from Departamento de Física Teórica-Instituto de Física Armando Dias Tavares-UERJ.