Perfect Fluid with Heat Flow in f(T) Theory of Gravity
Keywords:
f(T) theory, Perfect fluid with heat flow, Bianchi type-I
Abstract
Bianchi Type-I cosmological models have been a subject of extensive research in cosmology due to their simplicity and relevance in understanding the dynamics of the early Universe. In this study, we investigate the dynamics of such models within the framework of f(T) gravity, an alternative theory of gravity that extends teleparallel gravity by introducing a general function of the torsion scalar, T. We focus on the presence of a perfect fluid with heat flow in the cosmic medium. By solving the field equations of f(T) gravity, we obtain exact solutions for the Bianchi Type-I cosmological models. These solutions provide valuable insights into the evolution of the Universe and how it is influenced by the modified gravity theory. Furthermore, we derive cosmological parameters in terms of redshift, offering a convenient way to interpret observational data and connect theoretical predictions to empirical measurements. Our findings not only contribute to a deeper understanding of the dynamics of Bianchi Type-I cosmological models but also provide a foundation for comparing f(T) gravity with standard general relativity in the context of observational cosmology. This research paves the way for further exploration of alternative gravity theories and their implications for the early Universe’s evolution and structure.
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References
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model in teleparallel gravity.” Classical and Quantum Gravity 39.10 (2022): 105001.
26 Dawande, M. V., K. S. Adhav, and S. S. Nerkar. ”LRS Bianchi Type-I Universe in F (T)
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27 Shukla, Bhupendra Kumar, et al. ”Bianchi type-I Cosmological model in modified theory of
gravity.”
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f (T) tele-parallel gravity.” Journal of Cosmology and Astroparticle Physics 2023.10 (2023):
042.
29 Shamir, M. Farasat, and Zahid Raza. ”Locally rotationally symmetric Bianchi type I cosmology
in f (R) gravity.” Canadian Journal of Physics 93.1 (2015): 37-42.
30 Rodrigues, M. E., et al. ”Anisotropic universe models in f (T) gravity.” Physical Review D
86.10 (2012): 104059.
31 Solanke, Y. S., et al. ”LRS Bianchi type-I cosmological model in f (Q, T) theory of gravity
with observational constraints.” International Journal of Geometric Methods in Modern
Physics 20.12 (2023): 2350212.
32 Dagwal, V. J. ”Tilted two forms of dark energy in f (T) theory of gravity.” Indian Journal of
Physics (2023): 1-15.
33 Solanke, Y. S., D. D. Pawar, and V. J. Dagwal. ”Accelerating dark energy universe with LRS
Bianchi type-I space-time.” International Journal of Geometric Methods in Modern Physics
18.04 (2021): 2150062.
34 Pradhan, Anirudh, and Om Prakash Pandey. ”Bianchi type I anisotropic magnetized cosmological
models with varying Λ.” International Journal of Modern Physics D 12.07 (2003):
1299-1314.
35 Dagwal, V. J., and D. D. Pawar. ”Two-fluid sources in F (T) theory of gravity.” Modern
Physics Letters A 35.04 (2020): 1950357.
36 Pawar, D. D., D. K. Raut, and W. D. Patil. ”Anisotropic behavior of perfect fluid in fractal
cosmology.” New Astronomy 100 (2023): 101999.
37 Dagwal, V. J., and D. D. Pawar. ”Tilted cosmological models in f (T) theory of gravity.”
Indian Journal of Physics 95.9 (2021): 1923-1931.
38 Pawar, D. D., R. V. Mapari, and J. L. Pawade. ”Perfect fluid and heat flow in f (R, T) theory.”
Pramana 95.1 (2021): 10.
39 Pawar, D. D., V. J. Dagwal, and P. K. Agrawal. ”Two fluid axially symmetric cosmological
models in f (R, T) theory of gravitation.” Malaya Journal of Matematik 4.01 (2016): 111-118.
40 Dagwal, V. J., and D. D. Pawar. ”Tilted congruences with stiff fluid cosmological models.”
Indian Journal of Physics 94.11 (2020): 1861-1867.
41 MAHANTA, CHANDRA REKHA, and NITIN SARMA. ”International Journal of Mathematical
Archive-6 (12), 2015, 40-46 Available online through www. ijma. info ISSN
2229–5046.” (2015).
42 Pradhan, Anirudh, Ajay Kumar Singh, and D. S. Chouhan. ”Accelerating Bianchi type-V
cosmology with perfect fluid and heat flow in Saez-Ballester theory.” International Journal of
Theoretical Physics 52.1 (2013): 266-278.
13
model with a viscous fluid.” Journal of mathematical physics 26.11 (1985): 3010-3015.
2 S. Sharif, M., and Shamaila Rani. ”F (T) models within bianchi type-i universe.” Modern
Physics Letters A 26.22 (2011): 1657-1671.
3 Beesham, Aroonkumar. ”Bianchi type I cosmological models with variable G and A.” General
relativity and gravitation 26 (1994): 159-165.
4 Jacobs, Kenneth C. ”Cosmologies of Bianchi type I with a uniform magnetic field.” Astrophysical
Journal, vol. 155, p. 379 155 (1969): 379.
5 Sahoo, P. K., and M. Sivakumar. ”LRS Bianchi type-I cosmological model in f (R, T) theory
of gravity with Λ(T).” Astrophysics and Space Science 357 (2015): 1-12.
6 Barrow, John D., and D. H. Sonoda. ”Asymptotic stability of Bianchi type universes.” Physics
Reports 139.1 (1986): 1-49.
7 Ashtekar, Abhay, and Edward Wilson-Ewing. ”Loop quantum cosmology of Bianchi type I
models.” Physical Review D 79.8 (2009): 083535.
8 Akarsu, O¨ zgu¨r, and Can Battal Kılınc¸. ”LRS Bianchi type I models with anisotropic dark
energy and constant deceleration parameter.” General Relativity and Gravitation 42 (2010):
119-140.
9 Akarsu, O¨ zgu¨r, and Can Battal Kılınc¸. ”LRS Bianchi type I models with anisotropic dark
energy and constant deceleration parameter.” General Relativity and Gravitation 42 (2010):
119-140.
10 Saha, Bijan, and Todor Boyadjiev. ”Bianchi type-I cosmology with scalar and spinor fields.”
Physical Review D 69.12 (2004): 124010.
11 Jamil, Mubasher, et al. ”FRW and Bianchi type I cosmology of f-essence.” Astrophysics and
Space Science 339 (2012): 37-43.
12 Singh, T., and G. P. Singh. ”Bianchi type-I cosmological models in Lyra’s geometry.” Journal
of Mathematical Physics 32.9 (1991): 2456-2458.
13 Singh, J. P., Anirudh Pradhan, and A. Kumar Singh. ”Bianchi type-I cosmological models
with variable G and Λ-term in general relativity.” Astrophysics and Space Science 314 (2008):
83-88.
14 Arbab, Arbab I. ”Bianchi type I viscous universe with variable G and Λ.” General Relativity
and Gravitation 30.9 (1998): 1401-1405.
15 Rodrigues, M. E., et al. ”Bianchi type-I, type-III and Kantowski-Sachs solutions in f (T)
gravity.” Astrophysics and Space Science 357 (2015): 1-7.
16 Shamir, M. Farasat. ”Locally rotationally symmetric Bianchi type I cosmology in f (R, T)
gravity.” The European Physical Journal C 75.8 (2015): 354.
17 Chirde, V. R., S. P. Hatkar, and S. D. Katore. ”Bianchi type I cosmological model with perfect
fluid and string in f (T) theory of gravitation.” International Journal of Modern Physics D
29.08 (2020): 2050054.
18 Wanas, M. I., G. G. L. Nashed, and O. A. Ibrahim. ”Bianchi type I in f (T) gravitational
theories.” Chinese Physics B 25.5 (2016): 050401.
19 Fayaz, V., et al. ”f (T) theories from holographic dark energy models within Bianchi type I
universe.” The European Physical Journal Plus 130 (2015): 1-12.
20 Rodrigues, M. E., et al. ”Locally rotationally symmetric Bianchi type-I cosmological model
in f (T) gravity: from early to dark energy dominated universe.” International Journal of
Modern Physics D 23.01 (2014): 1450004.
21 Rodrigues, M. E., et al. ”Locally rotationally symmetric Bianchi type-I cosmological model
in f (T) gravity: from early to dark energy dominated universe.” International Journal of
Modern Physics D 23.01 (2014): 1450004.
22 Qazi, Sabiha, Fiaz Hussain, and Ghulam Shabbir. ”Exploring conformal vector fields of
Bianchi type-I perfect fluid solutions in f (T) gravity.” International Journal of Geometric
Methods in Modern Physics 18.10 (2021): 2150161.
23 Hasmani, A. H., and Ahmed M. Al-Haysah. ”Exact solutions for bianchi type-I cosmological
models in f (R) Theory of Gravity.” Applications and Applied Mathematics: An International
Journal (AAM) 14.1 (2019): 22.
24 Shekh, S. H., and V. R. Chirde. ”Accelerating Bianchi type dark energy cosmological model
with cosmic string in f (T) gravity.” Astrophysics and Space Science 365.3 (2020): 60.
25 Koussour, M., and M. Bennai. ”Stability analysis of anisotropic Bianchi type-I cosmological
model in teleparallel gravity.” Classical and Quantum Gravity 39.10 (2022): 105001.
26 Dawande, M. V., K. S. Adhav, and S. S. Nerkar. ”LRS Bianchi Type-I Universe in F (T)
Theory of Gravity.” Advances in Astrophysics 2.2 (2017): 117-125.
27 Shukla, Bhupendra Kumar, et al. ”Bianchi type-I Cosmological model in modified theory of
gravity.”
28 van den Hoogen, R. J., A. A. Coley, and D. D. McNutt. ”Bianchi type cosmological models in
f (T) tele-parallel gravity.” Journal of Cosmology and Astroparticle Physics 2023.10 (2023):
042.
29 Shamir, M. Farasat, and Zahid Raza. ”Locally rotationally symmetric Bianchi type I cosmology
in f (R) gravity.” Canadian Journal of Physics 93.1 (2015): 37-42.
30 Rodrigues, M. E., et al. ”Anisotropic universe models in f (T) gravity.” Physical Review D
86.10 (2012): 104059.
31 Solanke, Y. S., et al. ”LRS Bianchi type-I cosmological model in f (Q, T) theory of gravity
with observational constraints.” International Journal of Geometric Methods in Modern
Physics 20.12 (2023): 2350212.
32 Dagwal, V. J. ”Tilted two forms of dark energy in f (T) theory of gravity.” Indian Journal of
Physics (2023): 1-15.
33 Solanke, Y. S., D. D. Pawar, and V. J. Dagwal. ”Accelerating dark energy universe with LRS
Bianchi type-I space-time.” International Journal of Geometric Methods in Modern Physics
18.04 (2021): 2150062.
34 Pradhan, Anirudh, and Om Prakash Pandey. ”Bianchi type I anisotropic magnetized cosmological
models with varying Λ.” International Journal of Modern Physics D 12.07 (2003):
1299-1314.
35 Dagwal, V. J., and D. D. Pawar. ”Two-fluid sources in F (T) theory of gravity.” Modern
Physics Letters A 35.04 (2020): 1950357.
36 Pawar, D. D., D. K. Raut, and W. D. Patil. ”Anisotropic behavior of perfect fluid in fractal
cosmology.” New Astronomy 100 (2023): 101999.
37 Dagwal, V. J., and D. D. Pawar. ”Tilted cosmological models in f (T) theory of gravity.”
Indian Journal of Physics 95.9 (2021): 1923-1931.
38 Pawar, D. D., R. V. Mapari, and J. L. Pawade. ”Perfect fluid and heat flow in f (R, T) theory.”
Pramana 95.1 (2021): 10.
39 Pawar, D. D., V. J. Dagwal, and P. K. Agrawal. ”Two fluid axially symmetric cosmological
models in f (R, T) theory of gravitation.” Malaya Journal of Matematik 4.01 (2016): 111-118.
40 Dagwal, V. J., and D. D. Pawar. ”Tilted congruences with stiff fluid cosmological models.”
Indian Journal of Physics 94.11 (2020): 1861-1867.
41 MAHANTA, CHANDRA REKHA, and NITIN SARMA. ”International Journal of Mathematical
Archive-6 (12), 2015, 40-46 Available online through www. ijma. info ISSN
2229–5046.” (2015).
42 Pradhan, Anirudh, Ajay Kumar Singh, and D. S. Chouhan. ”Accelerating Bianchi type-V
cosmology with perfect fluid and heat flow in Saez-Ballester theory.” International Journal of
Theoretical Physics 52.1 (2013): 266-278.
13
Published
2024-03-05
Cited
How to Cite
Pawar, D., Ghungarwar, N., & Gaikwad, P. (2024). Perfect Fluid with Heat Flow in f(T) Theory of Gravity. East European Journal of Physics, (1), 102-111. https://doi.org/10.26565/2312-4334-2024-1-08
Section
Original Papers
Copyright (c) 2024 D.D. Pawar, N.G. Ghungarwar, P.S. Gaikwad
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