Non-Static Plane Symmetric Space Time with Constant 
Deceleration Parameter in 𝑓(𝑅,𝑇) Theory of Gravity

Vilas B. Raut; Sanjay A. Salve; Sumedh B. Thool

doi:https://doi.org/10.14445/22315373/IJMTT-V71I7P101

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 7 | Year 2025 | Article Id. IJMTT-V71I7P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I7P101

Non-Static Plane Symmetric Space Time with Constant Deceleration Parameter in 𝑓(𝑅,𝑇) Theory of Gravity

Vilas B. Raut, Sanjay A. Salve, Sumedh B. Thool

Received	Revised	Accepted	Published
01 May 2025	05 Jun 2025	27 Jun 2025	16 Jul 2025

Citation :

Vilas B. Raut, Sanjay A. Salve, Sumedh B. Thool, "Non-Static Plane Symmetric Space Time with Constant Deceleration Parameter in 𝑓(𝑅,𝑇) Theory of Gravity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 7, pp. 1-10, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I7P101

Abstract

In this study, we intend to investigate non-static plane symmetric spacetime in a framework of f(R,T) gravity, in an attempt to explain the accelerated expansion of the universe. Using the constant deceleration parameter approach, we obtain an exact solution of the cosmological model. The paper analyses some physical parameters such as the Hubble parameter, the equation of state, energy density, and the expansion scalar, which give information about the evolution of the universe. According to our findings, the deceleration parameter remains constant at 𝑞 = −0.45, which means the constant acceleration of the universe. The model shows a transition from a rapid early expansion phase to a more moderate, yet still accelerating phase, aligning well with observational data. Moreover, we examine the deviations from the equation of state parameter, demonstrating a progressive increase over cosmic time, highlighting the dynamic nature of dark energy. The outcomes recommend that the proposed model is a viable alternative to standard cosmological theories and presents a deeper understanding of the underlying mechanics driving cosmic acceleration.

Keywords

Non static plane symmetric space-time, f(R,T) gravity, Cosmology, Constant deceleration parameter.

References

[1] S. Perlmutter et al., “Measurements of the Cosmological Parameters W and L from the First Seven Supernovae at z ≥ 0.35,” Astrophys. J. 483(2), 565-581, 1997.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Adam G. Riess et al., “New Hubble Space Telescope Discoveries of Type Ia supernovae at z ≥ 1 Narrowing Constraints on the Early Behavior of Dark Energy,” The Astrophysical Journal, vol. 659, no. 1, pp. 98-121, 2007.
[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, no. 1, pp. 175-194, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Ed. Hawkins et al., “The 2dF Galaxy Redshift Survey: Correlation Functions, Peculiar Velocities and the Matter Density of the Universe,” Monthly Notices of the Royal Astronomical Society, vol. 346, no. 1, pp. 78-96, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[5] D.J.Eisenstein et al., “Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies,” The Astrophysical Journal, vol. 633, pp. 560-574, 2005.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Varun Sahni, “Dark Matter and Dark Energy,” arXiv:astro-ph/0403324, pp. 1-40, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[7] T. Padmanabhan, “Dark Energy and Gravity,” General Relativity and Gravitation, vol. 40, pp. 529-564, 2008.
[CrossRef] [Google Scholar] [Publisher Link]
[8] R.R. Caldwell, “A Phantom Menace? Cosmological Consequences of a Dark Energy Component with Super-Negative Equation of State,” Physics Letters B, vol. 545, no. 1-2, pp. 23-29, 2002.
[CrossRef] [Google Scholar] [Publisher Link]
[9] H.A. Buchdahl, “Non-Linear Lagrangians and Cosmological Theory,” Monthly Notices of the Royal Astronomical Society, vol. 150, no. 1, pp. 1-8, 1970.
[CrossRef] [Google Scholar] [Publisher Link]
[10] A.A. Starobinsky, “A New Type of Isotropic Cosmological Models without Singularity,” Physics Letters B, vol. 91, no. 1, pp. 99-102, 1980.
[CrossRef] [Google Scholar] [Publisher Link]
[11] S.H. Shekh et al., “Late Times ΛCDM f(T) Gravity Model with Parameterized q(z),” Modern Physics Letters A, vol. 39, no. 23, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[12] S.H. Shekh et al., “Observational Constraints on Transit Reconstructed Tsallis f(T) Gravity,” International Journal of Geometric Methods in Modern Physics, vol. 20, no. 12, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Tiberiu Harko et al., “f(R, T) Gravity,” Physical Review D, vol. 84, no. 2, pp. 1-11, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[14] V. R. Chirde, and S.H. Shekh, “Dark Energy Cosmological Model in a Modified Theory of Gravity,” Astrophysics, vol. 58, no. 1, pp. 106-119, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[15] P.H.R.S. Moraes, “Cosmology from Induced Matter Model Applied to 5D f(R, T) Theory,” Astrophysics and Space Science, vol. 352, pp. 273-279, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[16] Vijay Singh, Siwaphiwe Jokweni, and Aroonkumar Beesham, “FLRW Transit Cosmological Model in f(R, T) Gravity,” Universe, vol. 10, no. 7, pp. 1-18, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[17] P.H.R.S Moraes, G. Ribeiro, and R.A.C Correa, “A Transition from a Decelerated to an Accelerated Phase of the Universe Expansion from the Simplest Non-Trivial Polynomial Function of T in the f (R, T) Formalism,” Astrophysics and Space Science, vol. 361, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[18] M.S. Berman, “A Special Law of Variation for Hubble’s Parameter,” IINuovoCimentoB, vol. 74, pp. 182-186, 1983.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Marcelo Samuel Berman, and Fernando de Mello Gomide “Cosmological Models with Constant Deceleration Parameter,” General Relativity and Gravitation, vol. 20, pp. 191-198, 1988.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Rishi Kumar Tiwari et al., “Bianchi Type I Cosmological Model in f(R,T) Gravity †,” Physical Sciences Forum, vol. 2, no. 1, pp. 1-6, 2021. Not Found
[CrossRef] [Google Scholar] [Publisher Link]
[21] Salim Harun Shekh et al., “Observational Constraints on ℱ(𝒯,𝒯𝒢) Gravity with Hubble’s Parametrization,” Symmetry, vol. 15, no. 2, pp. 1-13, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[22] M. Koussour et al., “Quintessence Universe and Cosmic Acceleration in f (Q, T) Gravity,” International Journal of Modern Physics D, vol. 31, no. 16, pp. 1-11, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[23] Değer Sofuoğlu, and Aroonkumar Beesham, “f(R,T) Gravity and Constant Jerk Parameter in FLRW Spacetime, Physical Sciences Forum, vol. 7, no. 1, pp. 1-6, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[24] P.H.R.S. Moraes, R.A.C. Correa, and G. Ribeiro, “The Starobinsky Model within the f(R,T) Formalism as a Cosmological Model,” arXiv Preprint, pp. 1-7, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[25] Vijay Singh, Siwaphiwe Jokweni, and Aroonkumar Beesham “Plane Symmetric Cosmological Model with Strange Quark Matter in f(R,T) Gravity,” Universe, vol. 9, no. 9, pp. 1-16, 2023.
[CrossRef] [Google Scholar] [Publisher Link]