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Open Access Research Article

LRS Bianchi type II stiff fluid inflationary model with flat potential in general relativity

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pp. 2331–2338Vol. 28Issue 6September 2025DOI: 10.47974/JIM-2375XML
Received:
10 Dec 2024
Published Online:
30 Sep 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2375
Pages:
2331–2338

Abstract

In the current research, I have used the framework of Bianchi Type II LRS type metric using the condition of the stiff fluid inflationary model with flat potential. For a relativistic solution of the field equation, we have assumed an auxiliary condition R = Sm between the metric potential R & S., where m is a constant, which can take any value apart from one. For a stiff fluid, apply the equation of state p=ρ . Some dynamic feature of the model is also discussed. The physical parameters are also illustrated through graphical representations.

Keywords

Subject Classifications

83C15

References

[1] A. H. Guth, “Inflationary universe: A possible solution of the horizon and flatness problem,” Physics Letters B, vol. 91, pp. 99–101 (1980).
[2] A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Physics Letters B, vol. 91, pp. 99–102 (1980).
[3] A. D. Linde, “A new inflationary scenario: A possible solution of horizon, flatness, homogeneity, isotropy and primordial monopole problems,” Physics Letters B, vol. 108, pp. 389–393 (1982).
[4] R. M. Wald, “Asymptotic behavior of homogeneous cosmological models in presence of a positive cosmological constant,” Physical Review D, vol. 28, pp. 2118 (1983).
[5] J. D. Barrow, “Cosmic no-hair theorems and inflation,” Physics Letters B, vol. 187, pp. 12–16 (1987).
[6] Ø. Grøn, “Expansion isotropization during the inflationary era,” Physical Review D, vol. 32, pp. 2522 (1985).
[7] Ya. B. Zel’dovich, “The equation of state at ultra-high densities and its relativistic limitations,” Soviet Physics JETP, vol. 14, pp. 1143–1147 (1962).
[8] M. K. Mak and T. Harko, “Full causal dissipative cosmologies with stiff matter,” International Journal of Modern Physics D, vol. 13, pp. 273–280 (2004).
[9] R. Bali and K. Sharma, “Tilted Bianchi Type I stiff fluid magnetized cosmological model in general relativity,” Astrophysics and Space Science, vol. 283, pp. 11–22 (2003).
[10] R. Bali, M. Ali, and V. C. Jain, “A magnetized stiff fluid cylindrically symmetric universe with two degrees of freedom in general relativity,” International Journal of Theoretical Physics, vol. 47, pp. 2218–2229 (2008).
[11] R. Bali and B. L. Meena, “Bianchi Type V cosmological model with stiff fluid,” Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, vol. 75, pp. 273–278 (2005).
[12] R. Venkateswarlu and R. K. Reddy, “Exact Bianchi Type-II, VIII, and IX cosmological models with matter and electromagnetic fields in Lyra’s manifold,” Astrophysics and Space Science, vol. 182, pp. 97–106 (1991).
[13] D. R. K. Reddy, “Bianchi Type-II inflationary universe with massive string source in general relativity,” Prespacetime Journal, vol. 9, no. 5, pp. 432–440 (2018).
[14] L. Poonia and S. Sharma, “Inflationary scenario in Bianchi Type II space with bulk viscosity in general relativity,” Annals of the Romanian Society for Cell Biology, vol. 25, no. 2, pp. 1223–1229 (2021).
[15] A. Pradhan, H. Amirhashchi, and M. K. Yadav, “LRS Bianchi Type II string cosmological models for perfect fluid distribution in general relativity,” Fizika B, vol. 18, pp. 35–42 (2009).
[16] L. Poonia and S. Sharma, “Inhomogeneous cylindrically Bianchi Type I space-time with flat potential,” Journal of Physics: Conference Series, vol. 1706, 012042 (2020).
[17] V. Maheshwari, L. Poonia, and R. Mathur, “Bianchi Type III inflationary universe with flat potential and stiff fluid distribution in general relativity,” Journal of Interdisciplinary Mathematics, vol. 27, no. 2, pp. 299–306 (2024).
[18] S. Sen, G. S. Khadekar, and S. Samdurkar, “Bulk viscous Bianchi Type-III cosmological model with modified Takabayasi string in the presence of varying Λ,” Journal of Dynamical Systems and Geometric Theories, vol. 19, no. 1, pp. 95–112 (2021).
[19] M. Vijaya Santhi, V. U. M. Rao, and Y. Aditya, “Bianchi Type-I bulk viscous string model in f(R) gravity,” Journal of Dynamical Systems and Geometric Theories, vol. 17, no. 1, pp. 23–38 (2019).
[20] A. S. Nimkar, J. S. Wath, and V. M. Wankhade, “Bianchi Type-IX cosmological model in self-creation theory of gravitation,” Journal of Dynamical Systems and Geometric Theories, vol. 19, no. 1, pp. 25–34 (2021).

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