Five-Dimensional Strange Quark Bianchi Type-I Cosmological Model in The Framework of Saez Ballester Theory of Gravity

  • Mahesh Netnaskar Bapumiya Sirajoddin Patel Arts, Commerce and Science College, Pimpalgaon Kale, Dist. Buldhana M. S. (India); Shri R. R. Lahoti Science College, Morshi, Dist. Amravati (M.S.), India https://orcid.org/0000-0002-7405-9430
  • Kalpana Pawar Shri R. R. Lahoti Science College, Morshi-444905, Dist. Amravati, M. S. (India) https://orcid.org/0000-0002-4388-039X
  • Abhishek Dabre Shri R. R. Lahoti Science College, Morshi-444905, Dist. Amravati, M. S. (India) https://orcid.org/0000-0002-6811-582X
Keywords: Bianchi Type-I, Strange Quark Matter, Saez and Ballester Theory

Abstract

In this paper, we have constructed a five-dimensional Bianchi type I cosmological model with strange quark matter in the context of Saez-Ballester theory of gravity. We have discussed a five-dimensional cosmological model by using the special rule of variation for the Hubble parameter in the shape of H = Da-1 and the equation of state for strange quark matter. Two different models for n ≠ 0 and n = 0  have been discussed. Also, the accelerated expansion of the Universe has been discussed by using various physical parameters and its graphical representation. 

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References

G. Lyra, “Über eine Modifikation der Riemannschen Geometrie,” Mathematische Zeitschrift, 54(1), 52-64 (1951). https://doi.org/10.1007/BF01175135

C. Brans, and R.H. Dicke, “Mach's Principle and a Relativistic Theory of Gravitation,” Physical Review, 124(3), (1951). http://www.weylmann.com/brans_dicke.pdf

G.A. Barber, “On Two Self-Creation Cosmology,” General Relativity and Gravitation, 14, 117-136 (1982). http://dx.doi.org/10.1007/s10509-007-9387-x

D. Saez, and V.J. Ballester, “A simple coupling with cosmological implications,” Physics Letters A, 113(9), (1986). https://doi.org/10.1016/0375-9601(86)90121-0

R. Bali, and N.K. Chandnani, “Bianchi type-I cosmological model for perfect fluid distribution in Lyra geometry,” Journal of Mathematical Physics, 49(3). 032502 (2008). https://doi.org/10.1063/1.2898477

R. Bali, N.K. Chandnani, and L.K. Gupta, “Bianchi type I string dust magnetized cosmological models in Lyra geometry,” Communications in Theoretical Physics, 54(1), 197 (2010). https://doi.org/10.1088/0253-6102/54/1/36

T. Singh, and A.K. Agrawal, “Some Bianchi-type cosmological models in a new scalar- tensor theory,” Astrophys. Space Sci. 182, 289–312 (1991). https://doi.org/10.1007/BF00645008

S. Ram, and J.K. Singh, “Cosmological models in certain scalar-tensor theories,” Astrophys. Space Sci. 234, 325–334 (1995). https://doi.org/10.1007/BF00627675

C.P. Singh, and S. Ram, “Unified Description of Early Universe in Scalar-Tensor Theory,” Astrophysics and Space Science, 284, 1199-1206 (2003). https://doi.org/10.1023/A:1023637627922

D. Reddy, “A string cosmological model in a scalar – Tensor theory of gravitation,” Astrophysics and Space Science, 286, 359 363 (2003). https://doi.org/10.1023/A:1026370732619

G. Mohanty, and S.K. Sahu, “Bianchi VI0 cosmological model in Saez and Ballester theory,” Astrophysics and Space Science, 288(4), 509-516 (2003). https://doi.org/10.1023/B:ASTR.0000005124.75571.11

G. Mohanty, and S.K. Sahu, “Bianchi type-I cosmological effective stiff fluid model in Saez and Ballester theory,” Astrophysics and Space Science, 291, 75–83 (2004). https://doi.org/10.1023/B:ASTR.0000029962.07483.40

D.R.K. Reddy, M.V. Subba Rao, and G.A. Koteswara Rao, “Cosmological Model with Negative Constant Deceleration Parameter in a Scalar-Tensor Theory,” Astrophys. Space Sci. 306, 171–174 (2006). https://doi.org/10.1007/s10509-006-9210-0

G.C. Samanta, S.K. Biswal, and P.K. Sahoo, “Five-Dimensional Bulk Viscous String Cosmological Models in Saez and Ballester Theory of Gravitation,” Int. J. Theor. Phys. 52, 1504–1514 (2013). https://doi.org/10.1007/s10773-012-1470-6

K. Pawar, and R. Agrawal, “Five-Dimensional Kaluza-Klein Space-time in the framework of Saez Ballester,” IJSR, 3(7), 1509-1512 (2014). https://www.ijsr.net/getabstract.php?paperid=20141023

I.S. Mohurley, D.H. Gahane, R.K. Jumale, and J.K. Jumale, “Five-Dimensional Exact Bianchi Type-I Cosmological Models in a Scalar-Tensor Theory,” Prespacetime Journal, 7(8), 1165-1175 (2016). https://prespacetime.com/index.php/pst/article/download/1012/999

U. Heinz, “The Little bang: Searching for quark gluon matter in relativistic heavy ion collisions,” Nucl. Phys. A, 685, 414 (2001). https://doi.org/10.1016/S0375-9474(01)00558-9

C. Alcock, E. Farhi, and A. Olinto, “Strange Stars,” Astrophys. J. 310, 261 (1986). https://doi.org/10.1086/164679

J. Madsen, “Physics and astrophysics of strange quark matter,” in: Lecture Notes in Physics, vol. 516, (Springer, Berlin, Heidelberg, 1999). pp. 162–203. https://doi.org/10.1007/BFb0107314

B. Paczynski, “GB 790305 as a Very Strongly Magnetized Neutron Star,” Acta Astronomica, 42, 145-153 (1992). https://acta.astrouw.edu.pl/Vol42/n3/pap_42_3_1.pdf

C. Thompson, and R.C. Duncan, “Formation of Very Strongly Magnetized Neutron Stars: Implications for Gamma-Ray Bursts,” Astrophysical Journal Letters, 392, L9 (1992). https://doi.org/10.1086/186413

C. Kouveliotou, et al., “An X-ray pulsar with a superstrong magnetic field in the soft γ-ray repeater SGR1806–20,” Nature, 393(6682), 235-237 (1998). https://doi.org/10.1038/30410

R. Nagpal, J.K. Singh, and S. Aygün, “FLRW cosmological models with quark and strange quark matters in f(R,T) gravity,” Astrophys. Space Sci. 363, 114 (2018). https://doi.org/10.1007/s10509-018-3335-9

C. Aktaş, and S. Aygün, “Magnetized strange quark matter solutions in f(R, T) gravity with cosmological constant,” Chin. J. Phys. 55(1), 71–78 (2017). https://doi.org/10.1016/j.cjph.2016.12.003

K.L. Mahanta, A.K. Biswal, and P.K. Sahoo, “Bulk viscous string cloud with strange quark matter in Brans-Dicke theory,” Eur. Phys. J. Plus, 129, 141 (2014). https://doi.org/10.1140/epjp/i2014-14141-0

P.K. Sahoo, P. Sahoo, B.K. Bishi, and S. Aygün, “Magnetized strange quark model with Big Rip singularity in f(R,T) gravity,” Mod. Phys. Lett. A, 32, 1750105 (2017). https://doi.org/10.1142/S021773231750105X

G.S. Khadekar, and R.D. Shelote, “Higher Dimensional Cosmological Model with Quark and Strange Quark Matter,” International Journal of Theoretical Physics, 51, 1442-1447 (2011). https://doi.org/10.1007/s10773-011-1020-7

D.D. Pawar, B.L. Jakore, and V.J. Dagwal, “Kaluza-Klein cosmological model with strange-quark-matter in Lyra geometry,” Int. J. Geom. Meth. Mod. Phys. 20(05), 2350079 (2023). https://doi.org/10.1142/S0219887823500792

S. Kumar, and C.P. Singh, “Exact Bianchi Type-I Cosmological Models in a Scalar-Tensor Theory,” International Journal of Theoretical Physics, 47, 1722-1730 (2008). https://doi.org/10.1007/s10773-007-9614-9

Published
2024-09-02
Cited
How to Cite
Netnaskar, M., Pawar, K., & Dabre, A. (2024). Five-Dimensional Strange Quark Bianchi Type-I Cosmological Model in The Framework of Saez Ballester Theory of Gravity. East European Journal of Physics, (3), 27-35. https://doi.org/10.26565/2312-4334-2024-3-03