Research Article
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Year 2025, Issue: 50, 89 - 97, 28.03.2025
https://doi.org/10.53570/jnt.1646755

Abstract

References

  • A. Vilenkin, E. P. S. Shellard, Cosmic strings and other topological defects, Cambridge University Press, 1994.
  • T. W. B. Kibble, Topology of cosmic domains and strings, Journal of Physics A Mathematical General 9 (8) (1976) 1387–1398.
  • T. Kanakavalli, G. Ananda Rao, LRS Bianchi type-I string cosmological models in f(R,T) gravity, Astrophysics and Space Science 361 (7) (2016) 206.
  • M. Kiran, D. R. K. Reddy, Non-existence of Bianchi type-III bulk viscous string cosmological model in f(R,T) gravity, Astrophysics and Space Science 346 (2) (2013) 521–524.
  • A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, B. Leibundgut, M. M. Phillips, D. Reiss, B. P. Schmidt, R. A. Schommer, R. C. Smith, J. Spyromilio, C. Stubbs, N. B. Suntzeff, J. Tonry, Observational evidence from Supernovae for an accelerating universe and a cosmological constant, The Astronomical Journal 116 (3) (1998) 1009–1038.
  • E. Hubble, A relation between distance and radial velocity among extra-galactic nebulae, Proceedings of the National Academy of Science 15 (3) (1929) 168–173.
  • T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov, f(R,T) gravity, Physical Review D 84 (2) (2011) 024020.
  • R. M. Gad, A. Al-Jedani, S. T. Alsulami, Conformal solutions of static plane symmetric cosmological models in cases of a perfect fluid and a cosmic string cloud, Axioms 14 (2) (2025) 117.
  • A. Ditta, X. Tiecheng, M. Asia, I. Mahmood, Cloud of strings and quintessence compact stars with anisotropic fluid in symmetric teleparallel gravity, International Journal of Geometric Methods in Modern Physics 21 (4) (2024) 2450076.
  • P. M. Lambat, A. M. Pund, Cosmic string coupled with perfect fluid Bianchi type-I universe in f(R,T) modified gravitational theory, in: B. Butey, R. Thete, B. Thakran, A. Deshpande, E. Raut, K. Nandekar, B. Rajvaidya (Eds.), American Institute of Physics Conference Series, Vol. 3139 American Institute of Physics Conference Series, AIP, Nagpur, 2023, 090005.
  • S. Islam, P. Kumar Dhankar, B. Thakran, S. R. Kumbhare, String cloud with quark matter and viscous fluid admitting conformal motion, Romanian Astronomical Journal 34 (1-2) (2024) 15–32.
  • R. M. Gad, A. Al-Jedani, Self-similar solutions of a Bianchi type-III model with a perfect fluid and cosmic string Cloud in Riemannian geometry, Symmetry 15 (9) (2023) 1703.
  • Y. Sobhanbabu, M. Vijaya Santhi, Five-dimensional strange quark matter cosmological model with string cloud, International Journal of Geometric Methods in Modern Physics 20 (7) (2023) 2350108.
  • M. Vijaya Santhi, T. Chinnappalanaidu, Strange quark matter cosmological models attached to string cloud in f(R) theory of gravity, Indian Journal of Physics 96 (3) (2022) 953–962.
  • S. Kalkan, C. Aktaş, S. Aygün, Does magnetized strange quark matter exist in the early universe?, Modern Physics Letters A 37 (2022) 2250251.
  • S. Kalkan, C. Aktaş, Bianchi ${VI}_0$ universe with magnetized strange quark matter in f(R,T) theory, Journal of New Theory (37) (2021) 76–85.
  • S. Kalkan, C. Aktaş, Behavior of magnetized strange quark matter in 5D cosmological model, Iranian Journal of Science and Technology, Transactions A: Science 46 (5) (2022) 1505–1511.
  • M. Amet Memet, C. Aktaş, Statefinder diagnosis of Tsallis holographic dark energy model in f(R,T) Theory, Physica Scripta 98 (1) (2023) 015217.
  • P. K. Sahoo, B. Mishra, P. Sahoo, S. K. J. Pacif, Bianchi type string cosmological models in f(R,T) gravity, European Physical Journal Plus 131 (9) (2016) 333.
  • N. K. Sharma, J. K. Singh, Bianchi type-II string cosmological model with magnetic field in f(R,T) gravity, International Journal of Theoretical Physics 53 (9) (2014) 2912–2922.
  • S. Rani, J. K. Singh, N. K. Sharma, Bianchi type-III magnetized string cosmological models for perfect fluid distribution in f(R,T) gravity, International Journal of Theoretical Physics 54 (5) (2015) 1698–1710.
  • R. L. Naidu, D. R. K. Reddy, T. Ramprasad, K. V. Ramana, Bianchi type-V bulk viscous string cosmological model in f(R,T) gravity, Astrophysics and Space Science 348 (1) (2013) 247–252.
  • S. D. Katore, S. P. Hatkar, Bianchi type III and Kantowski-Sachs domain wall cosmological models in the f(R,T) theory of gravitation, Progress of Theoretical and Experimental Physics 2016 (3) (2016) 033E01.
  • I. Yilmaz, String cloud and domain walls with quark matter in 5-D Kaluza Klein cosmological model, General Relativity and Gravitation 38 (9) (2006) 1397–1406.
  • P. K. Agrawal, D. D. Pawar, Magnetized domain wall in f(R,T) theory of gravity, New Astronomy 54 (2017) 56–60.
  • A. Dabre, P. Makode, Viscous plane symmetric string cosmological model in f(R) gravity, Astrophysics 67 (2) (2024) 161–177.
  • W. Zhai, X. Zhang, Gauss-Bonnet solution with a cloud of strings in de Sitter and anti-de Sitter space, Chinese Physics C 48 (1) (2024) 015101.
  • A. Dixit, V. K. Bhardwaj, A. Pradhan, S. Krishnannair, Observational constraint in Kantowski- Sachs f(R) gravity model with strange quark matter, Indian Journal of Physics 97 (12) (2023) 3695–3705.
  • C. Kömürcü, C. Aktaş, Investigation of the magnetized string distribution in the Marder universe with the cosmological term in f(R,T) theory, Modern Physics Letters A 35 (32) (2020) 2050263.
  • S. K. J. Pacif, R. Myrzakulov, S. Myrzakul, Reconstruction of cosmic history from a simple parametrization of H, International Journal of Geometric Methods in Modern Physics 14 (7) (2017) 1750111.

A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model

Year 2025, Issue: 50, 89 - 97, 28.03.2025
https://doi.org/10.53570/jnt.1646755

Abstract

This study investigates the dynamics of cosmic strings within the framework of the $f(R,T)$ gravity model, a modified theory of gravity proposed by Harko et al. in 2011. The $f(R,T)$ theory extends Einstein’s general relativity by including functions of the Ricci scalar ($R$) and the trace of the energy-momentum tensor ($T$). Using the Friedman-Robertson-Walker (FRW) universe model, the study derives the field equations and explores the behavior of the key cosmological parameters, such as the scale factor, string energy density, cosmological term, deceleration parameter, and Hubble parameter. The analytical solutions show that the universe expands continuously with the increasing scale factor values. The study also demonstrates that energy density and the cosmological term decrease over time, while the Hubble parameter exhibits a similar declining trend. The results indicate that the model aligns well with the observed accelerated expansion of the current universe. These findings provide valuable insights into the role of cosmic strings and modified gravity theories in explaining large-scale cosmic evolution.

Supporting Institution

Çanakkale Onsekiz Mart University

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FYL-2020-3267.

References

  • A. Vilenkin, E. P. S. Shellard, Cosmic strings and other topological defects, Cambridge University Press, 1994.
  • T. W. B. Kibble, Topology of cosmic domains and strings, Journal of Physics A Mathematical General 9 (8) (1976) 1387–1398.
  • T. Kanakavalli, G. Ananda Rao, LRS Bianchi type-I string cosmological models in f(R,T) gravity, Astrophysics and Space Science 361 (7) (2016) 206.
  • M. Kiran, D. R. K. Reddy, Non-existence of Bianchi type-III bulk viscous string cosmological model in f(R,T) gravity, Astrophysics and Space Science 346 (2) (2013) 521–524.
  • A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, B. Leibundgut, M. M. Phillips, D. Reiss, B. P. Schmidt, R. A. Schommer, R. C. Smith, J. Spyromilio, C. Stubbs, N. B. Suntzeff, J. Tonry, Observational evidence from Supernovae for an accelerating universe and a cosmological constant, The Astronomical Journal 116 (3) (1998) 1009–1038.
  • E. Hubble, A relation between distance and radial velocity among extra-galactic nebulae, Proceedings of the National Academy of Science 15 (3) (1929) 168–173.
  • T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov, f(R,T) gravity, Physical Review D 84 (2) (2011) 024020.
  • R. M. Gad, A. Al-Jedani, S. T. Alsulami, Conformal solutions of static plane symmetric cosmological models in cases of a perfect fluid and a cosmic string cloud, Axioms 14 (2) (2025) 117.
  • A. Ditta, X. Tiecheng, M. Asia, I. Mahmood, Cloud of strings and quintessence compact stars with anisotropic fluid in symmetric teleparallel gravity, International Journal of Geometric Methods in Modern Physics 21 (4) (2024) 2450076.
  • P. M. Lambat, A. M. Pund, Cosmic string coupled with perfect fluid Bianchi type-I universe in f(R,T) modified gravitational theory, in: B. Butey, R. Thete, B. Thakran, A. Deshpande, E. Raut, K. Nandekar, B. Rajvaidya (Eds.), American Institute of Physics Conference Series, Vol. 3139 American Institute of Physics Conference Series, AIP, Nagpur, 2023, 090005.
  • S. Islam, P. Kumar Dhankar, B. Thakran, S. R. Kumbhare, String cloud with quark matter and viscous fluid admitting conformal motion, Romanian Astronomical Journal 34 (1-2) (2024) 15–32.
  • R. M. Gad, A. Al-Jedani, Self-similar solutions of a Bianchi type-III model with a perfect fluid and cosmic string Cloud in Riemannian geometry, Symmetry 15 (9) (2023) 1703.
  • Y. Sobhanbabu, M. Vijaya Santhi, Five-dimensional strange quark matter cosmological model with string cloud, International Journal of Geometric Methods in Modern Physics 20 (7) (2023) 2350108.
  • M. Vijaya Santhi, T. Chinnappalanaidu, Strange quark matter cosmological models attached to string cloud in f(R) theory of gravity, Indian Journal of Physics 96 (3) (2022) 953–962.
  • S. Kalkan, C. Aktaş, S. Aygün, Does magnetized strange quark matter exist in the early universe?, Modern Physics Letters A 37 (2022) 2250251.
  • S. Kalkan, C. Aktaş, Bianchi ${VI}_0$ universe with magnetized strange quark matter in f(R,T) theory, Journal of New Theory (37) (2021) 76–85.
  • S. Kalkan, C. Aktaş, Behavior of magnetized strange quark matter in 5D cosmological model, Iranian Journal of Science and Technology, Transactions A: Science 46 (5) (2022) 1505–1511.
  • M. Amet Memet, C. Aktaş, Statefinder diagnosis of Tsallis holographic dark energy model in f(R,T) Theory, Physica Scripta 98 (1) (2023) 015217.
  • P. K. Sahoo, B. Mishra, P. Sahoo, S. K. J. Pacif, Bianchi type string cosmological models in f(R,T) gravity, European Physical Journal Plus 131 (9) (2016) 333.
  • N. K. Sharma, J. K. Singh, Bianchi type-II string cosmological model with magnetic field in f(R,T) gravity, International Journal of Theoretical Physics 53 (9) (2014) 2912–2922.
  • S. Rani, J. K. Singh, N. K. Sharma, Bianchi type-III magnetized string cosmological models for perfect fluid distribution in f(R,T) gravity, International Journal of Theoretical Physics 54 (5) (2015) 1698–1710.
  • R. L. Naidu, D. R. K. Reddy, T. Ramprasad, K. V. Ramana, Bianchi type-V bulk viscous string cosmological model in f(R,T) gravity, Astrophysics and Space Science 348 (1) (2013) 247–252.
  • S. D. Katore, S. P. Hatkar, Bianchi type III and Kantowski-Sachs domain wall cosmological models in the f(R,T) theory of gravitation, Progress of Theoretical and Experimental Physics 2016 (3) (2016) 033E01.
  • I. Yilmaz, String cloud and domain walls with quark matter in 5-D Kaluza Klein cosmological model, General Relativity and Gravitation 38 (9) (2006) 1397–1406.
  • P. K. Agrawal, D. D. Pawar, Magnetized domain wall in f(R,T) theory of gravity, New Astronomy 54 (2017) 56–60.
  • A. Dabre, P. Makode, Viscous plane symmetric string cosmological model in f(R) gravity, Astrophysics 67 (2) (2024) 161–177.
  • W. Zhai, X. Zhang, Gauss-Bonnet solution with a cloud of strings in de Sitter and anti-de Sitter space, Chinese Physics C 48 (1) (2024) 015101.
  • A. Dixit, V. K. Bhardwaj, A. Pradhan, S. Krishnannair, Observational constraint in Kantowski- Sachs f(R) gravity model with strange quark matter, Indian Journal of Physics 97 (12) (2023) 3695–3705.
  • C. Kömürcü, C. Aktaş, Investigation of the magnetized string distribution in the Marder universe with the cosmological term in f(R,T) theory, Modern Physics Letters A 35 (32) (2020) 2050263.
  • S. K. J. Pacif, R. Myrzakulov, S. Myrzakul, Reconstruction of cosmic history from a simple parametrization of H, International Journal of Geometric Methods in Modern Physics 14 (7) (2017) 1750111.
There are 30 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Research Article
Authors

Nevruz Taş 0000-0001-6256-4678

Can Aktaş 0000-0002-0603-7862

Publication Date March 28, 2025
Submission Date February 25, 2025
Acceptance Date March 26, 2025
Published in Issue Year 2025 Issue: 50

Cite

APA Taş, N., & Aktaş, C. (2025). A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model. Journal of New Theory(50), 89-97. https://doi.org/10.53570/jnt.1646755
AMA Taş N, Aktaş C. A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model. JNT. March 2025;(50):89-97. doi:10.53570/jnt.1646755
Chicago Taş, Nevruz, and Can Aktaş. “A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model”. Journal of New Theory, no. 50 (March 2025): 89-97. https://doi.org/10.53570/jnt.1646755.
EndNote Taş N, Aktaş C (March 1, 2025) A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model. Journal of New Theory 50 89–97.
IEEE N. Taş and C. Aktaş, “A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model”, JNT, no. 50, pp. 89–97, March 2025, doi: 10.53570/jnt.1646755.
ISNAD Taş, Nevruz - Aktaş, Can. “A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model”. Journal of New Theory 50 (March 2025), 89-97. https://doi.org/10.53570/jnt.1646755.
JAMA Taş N, Aktaş C. A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model. JNT. 2025;:89–97.
MLA Taş, Nevruz and Can Aktaş. “A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model”. Journal of New Theory, no. 50, 2025, pp. 89-97, doi:10.53570/jnt.1646755.
Vancouver Taş N, Aktaş C. A Dynamic Analysis of Cosmic Strings in the $f(R,T)$ Gravity Model. JNT. 2025(50):89-97.


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