Volume 71 | Issue 10 | Year 2025 | Article Id. IJMTT-V71I10P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I10P101
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 06 Aug 2025 | 11 Sep 2025 | 03 Oct 2025 | 17 Oct 2025 |
S. C. Darunde, S. N. Bayaskar, "Hybrid Expansion Law for Bulk Viscous 𝑓(𝑇) Gravity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 10, pp. 1-8, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I10P101
The present investigation examines the bulk viscous Kantowski-Sachs cosmological model within the framework of f(T) modified gravity. We have derived the field equations by employing a specific functional form f(T) of gravity and analyzed the dynamics of essential physical parameters, including energy density, isotropic pressure, and the equation of state parameter. To obtain precise solutions, a hybrid expansion law has been utilized, which provides insight into the accelerated expansion of the universe. The results indicate that energy density consistently decreases over time, while isotropic pressure exhibits a declining trend, both contributing to cosmic acceleration. The equation of state parameter remains within the phantom regime, suggesting the presence of a dynamic dark energy component. This study highlights the versatility of f(T) modified gravity in elucidating both the early and late stages of cosmic evolution. Our findings align with observational data, enhancing the validity of modified gravity theories in explicating the dynamics of the universe’s expansion.
Kantowski-Sachs universe, 𝑓(𝑇) Theory of gravity, Hybrid expansion law.
[1] Adam G. Riess et al., “Observational
Evidence from Supernovae for an Accelerating Universe and a Cosmological
Constant,” The Astronomical Journal, vol. 116, pp. 1009-1038, 1998.
[CrossRef] [Google Scholar] [Publisher Link]
[2] S. Perlmutter et al., “Measurements of Omega and
Lambda from 42 High-Redshift Supernovae,” The Astrophysical Journal,
vol. 517, pp. 565-586, 1999.
[CrossRef] [Google Scholar] [Publisher Link]
[3] D.N. Spergel et al., “First-Year Wilkinson Microwave Anisotropy Probe
(WMAP) Observations: Determination of Cosmological Parameters,” The
Astrophysical Journal Supplement Series, vol. 148, pp. 175-194, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Max Tegmark et al., “Cosmological Parameters from SDSS and WMAP,” Physical
Review D, vol. 69, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[5] E. Komatsu et al., “Five-Year Wilkinson Microwave Anisotropy Probe (WMAP)
Observations: Cosmological Interpretation,” The Astrophysical Journal
Supplement Series, vol. 180,
pp. 330-376, 2009.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Thomas P. Sotiriou, and Valerio
Faraoni, “ Theories of Gravity,”
Reviews of Modern Physics, vol. 82,
2010.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Shin’ichi Nojiri, and Sergei D.
Odintsov, “Unified Cosmic History in Modified Gravity: From Theory to Lorentz
Non-Invariant Models,” Physics Reports, vol. 505, no. 2-4, pp. 59-144, 2011.[CrossRef] [Google Scholar] [Publisher Link]
[8] A. Einstein, Riemann-Geometriemit has the Ability to Analyze the Begriffs of
Fernparallelismus, 1928.
[Google Scholar] [Publisher Link]
[9] Gabriel R. Bengochea, and Rafael
Ferraro, “Dark Torsion as the Cosmic Speed-Up,” Physical Review D, vol. 79, 2009.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Eric V. Linder, “Einstein’s Other
Gravity and the Acceleration of the Universe,” Physical Review D, vol. 81, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Puxun Wu, and Hongwei Yu,
“Observational Constraints on Theory,” Physics
Letters B, vol. 693, no. 4,
pp. 415-420, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[12] R. Maartens, “Dissipative
Cosmology,” Classical and Quantum Gravity, vol. 12, 1995.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Winfried Zimdahl, “Bulk Viscous
Cosmology,” Physics Letters A, vol. 176, 1993.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Arturo Avelino, and Ulises
Nucamendi, “Can a Matter-Dominated Model with Constant Bulk Viscosity Drive the
Accelerated Expansion of the Universe?,” Journal of Cosmology and
Astroparticle Physics, vol. 2009,
2010.
[CrossRef] [Google Scholar] [Publisher Link]
[15] John D. Barrow, “The Deflationary
Universe: An Instability of the De Sitter Universe,” Physics Letters B,
vol. 180, no. 4, pp. 335-339,
1986.
[CrossRef] [Google Scholar] [Publisher Link]
[16] I. Brevik, and O. Gorbunova, “Dark
Energy and Viscous Cosmology,” General Relativity and Gravitation, vol. 37, pp. 2039-2045, 2005.
[CrossRef] [Google Scholar] [Publisher Link]
[17] J.C. Fabris, S.V.B. Gonçalves, and
R. de Sá Ribeiro, “Bulk Viscosity Driving the Acceleration of the Universe,” General
Relativity and Gravitation, vol. 38,
pp. 495-506, 2006.
[CrossRef] [Google Scholar] [Publisher Link]
[18] R. Colistete et al., “Bulk Viscous
Cosmology,” Physical Review D, vol. 76, 2007.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Kazuharu Bamba et al., “Dark Energy
Cosmology: The Equivalent Description via Different Theoretical Models and
Cosmography Tests,” Astrophysics and Space Science, vol. 342, pp. 155-228, 2012.
[CrossRef] [Google Scholar] [Publisher Link]
[20] R. Kantowski, and R.K. Sachs, “Some
Spatially Homogeneous Anisotropic Relativistic Cosmological Models,” Journal
of Mathematical Physics, vol. 7, no. 3, pp. 443-446, 1966.
[CrossRef] [Google Scholar] [Publisher Link]
[21] G.F.R. Ellis, and M.A.H. MacCallum,
“A Class of Homogeneous Cosmological Models,” Communications in Mathematical
Physics, vol. 12, pp.
108-141, 1969.
[CrossRef] [Google Scholar] [Publisher Link]
[22] David F. Mota, and John D. Barrow,
“Varying Alpha in a More Realistic Universe,” Physical Review D, vol. 70, no. 3-4, pp. 141-146, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[23] Shin’ichi Nojiri, and Sergei D.
Odintsov, “Unified Cosmic History in Modified Gravity: From Theory to Lorentz
Non-Invariant Models,” Physics Reports, vol. 505, no. 2-4, pp. 59-144, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[24] Sean M. Carroll, and Mark Hoffman,
and Mark Trodden, “Can the Dark Energy Equation-of-State Parameter w be Less than −1?,” Physical Review D, vol. 68, 2003.
[CrossRef] [Google Scholar] [Publisher Link]