LRS Bianchi Type-I Cosmological Model in Modified f(R, T) Gravitation Theory filled with Perfect Fluid

Authors

  • V. Ingle Department of Mathematics, R.D.I.K & K.D. College, Badnera-444701, India
  • V.G. Mete Department of Mathematics, R.D.I.K & K.D. College, Badnera-444701, India

DOI:

https://doi.org/10.71330/thenucleus.2025.1373

Abstract

This study explores LRS Bianchi Type-I space time filled with a perfect fluid within the framework of f(R,T) gravity, where R represents the Ricci scalar and T denotes the trace of the stress-energy momentum tensor. We analyze the simplest form of cosmic evolution in the context of general non-minimally coupled gravity models. Two specific models of f(R,T) gravity are considered. A time-dependent deceleration parameter is introduced, leading to an accelerated universe with an exact field solution. Additionally, we examine the kinematical and physical properties of the proposed models.

References

A.G. Riess, A.V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P.M. Garnavich, and J. Tonry, "Observational evidence from supernovae for an accelerating universe and a cosmological constant,"The Astronomical Journal, vol. 116, no. 3, pp. 1009, 1998.

S. Perlmutter, G. Aldering, G. Goldhaber, R.A. Knop, P. Nugent, P.G. Castro, S. Deustua, S. Fabbro, A. Goobar, D.E. Groom and I.M. Hook, "Measurements of Ω and Λ from 42 high-redshift supernovae," The Astrophysical Journal, vol. 517, no. 2, pp. 565, 1999.

A.G. Riess, R.P. Kirshner, B.P. Schmidt, S. Jha, P. Challis, P.M. Garnavich, and P. Zhao, "BVRI light curves for 22 type Ia supernovae," The Astronomical Journal, vol. 117, no. 2, pp. 707, 1999.

D.N. Spergel, L. Verde, H.V. Peiris, E. Komatsu, M.R. Nolta, C.L. Bennett, and E.L. Wright, "First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: determination of cosmological parameters," The Astrophysical Journal Supplement Series, vol. 148, no. 1, pp. 175, 2003.

M. Tegmark, M.A. Strauss, M. R. Blanton, K. Abazajian, S. Dodelson, H. Sandvik, and D.G. York, "Cosmological parameters from SDSS and WMAP," Physical Review D, vol. 69, no. 10, pp. 103501, 2004.

K. Abazajian, J.K. Adelman-McCarthy, M.A. Agüeros, S.S. Allam, K.S. Anderson, S.F. Anderson, J. Annis, N.A. Bahcall, I.K. Baldry, S. Bastian and A. Berlind "The second data release of the Sloan Digital Sky Survey," The Astronomical Journal, vol. 128, no. 1, pp. 502, 2004.

K. Abazajian, J.K. Adelman-McCarthy, M.A. Agüeros, S.S. Allam, K. S. Anderson, S.F. Anderson, J. Annis, N.A. Bahcall, I.K. Baldry, S. Bastian and A. Berlind, "The third data release of the Sloan Digital Sky Survey," The Astronomical Journal, vol. 129, no. 3, pp. 1755, 2005.

D.N. Spergel, R. Bean, O. Doré, M.R. Nolta, C.L. Bennett, J. Dunkley, G. Hinshaw, N.E. Jarosik, E. Komatsu, L. Page and H.V. Peiris,"Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: implications for cosmology," The Astrophysical Journal Supplement Series, vol. 170, no. 2, pp. 377, 2007.

E. Komatsu, J. Dunkley, M.R. Nolta, C.L. Bennett, B. Gold, G. Hinshaw, N. Jarosik, D. Larson, M. Limon, L.E.A. Page and D.N. Spergel, "Five-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation," The Astrophysical Journal Supplement Series, vol. 180, no. 2, pp. 330, 2009.

D. Larson, J. Dunkley, G. Hinshaw, E. Komatsu, M.R. Nolta, C.L. Bennett, B. Gold, M. Halpern, R.S. Hill, N. Jarosik and A. Kogut "Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: power spectra and WMAP-derived parameters," The Astrophysical Journal Supplement Series, vol. 192, no. 2, pp. 16, 2011.

P.A. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, and S. Matarrese, "Planck 2015 results-XIII. Cosmological parameters," Astronomy & Astrophysics, vol. 594, pp. A13, 2016.

S. Alam, M. Ata, S. Bailey, F. Beutler, D. Bizyaev, J.A. Blazek, and G.B. Zhao, "The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample," Monthly Notices of the Royal Astronomical Society, vol. 470, no. 3, pp. 2617-2652, 2017.

S. Naess, M. Hasselfield, J. McMahon, M.D. Niemack, G.E. Addison, P.A. Ade, R. Allison, M. Amiri, N. Battaglia, J.A. Beall and F. De Bernardis, "The Atacama Cosmology Telescope: CMB polarization at 200<ℓ<9000," Journal of Cosmology and Astroparticle Physics, vol. 2014, no. 10, pp. 007, 2014.

A.G. Riess, L.G. Strolger, J. Tonry, S. Casertano, H.C. Ferguson, B. Mobasher, and Z. Tsvetanov, "Type Isupernova discoveries at z > 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution," The Astrophysical Journal, vol. 607, no. 2, pp. 665, 2004.

C.L. Bennett, R.S. Hill, G. Hinshaw, M.R. Nolta, N. Odegard, L. Page, and E. Wollack, "First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: foreground emission," The Astrophysical Journal Supplement Series, vol. 148, no. 1, pp. 97, 2003.

A. Jakubiec and J. Kijowski, "On the Cauchy problem for the theory of gravitation with nonlinear Lagrangian," Journal of Mathematical Physics, vol. 30, no. 12, pp. 2923-2924, 1989.

S.I. Nojiri and S.D. Odintsov, "Modified gravity with negative and positive powers of curvature: Unification of inflation and cosmic acceleration," Physical Review D, vol. 68, no. 12, pp. 123512, 2003.

T. Harko, F.S. Lobo, S.I. Nojiri, and S. D. Odintsov, "f (R, T) gravity," Physical Review D, vol. 84, no. 2, pp. 024020, 2011.

S.I. Nojiri and S.D. Odintsov, "Introduction to modified gravity and gravitational alternative for dark energy," International Journal of Geometric Methods in Modern Physics, vol. 4, no. 1, pp. 115-145, 2007.

M. Sharif and M. Zubair, "Cosmological reconstruction and stability in f (R, T) gravity," General Relativity and Gravitation, vol. 46, no. 6, pp. 1723, 2014.

Y.S. Solanke, 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, vol. 18, no. 4, pp. 2150062, 2021.

G.P. Singh, B.K. Bishi, and P.K. Sahoo, "Cosmological constant Λ in f (R, T) modified gravity," International Journal of Geometric Methods in Modern Physics, vol. 13, no. 5, pp. 1650058, 2016.

V.G. Mete, V.M. Ingle, and A.T. Valkunde, "LRS Bianchi Type-I Cosmological Model in Modified f (R, T)," Prespacetime Journal, vol. 14, no. 6, 2023.

V.G. Mete, P.S. Dudhe, and V.M. Ingle, "Bianchi Type-I Cosmological Model with Perfect Fluid in Modified f (T) Gravity," Journal of Scientific Research, vol. 15, no. III, pp. 571-581, 2023.

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Published

10-02-2025

How to Cite

[1]
V. Ingle and V. G. Mete, “LRS Bianchi Type-I Cosmological Model in Modified f(R, T) Gravitation Theory filled with Perfect Fluid”, The Nucleus, vol. 62, no. 1, pp. 8–13, Feb. 2025.

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