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Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter

Rajdeep G. Kandarkar1 , V.A. Thakare2

  1. Dept. of Mathematics, Shri.Shivaji Science College, Amravati (M.S.) 444602, India.
  2. Dept. of Mathematics, Shri.Shivaji Science College, Amravati (M.S.) 444602, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.6 , pp.1-8, Dec-2023


Online published on Dec 31, 2023


Copyright © Rajdeep G. Kandarkar, V.A. Thakare . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Rajdeep G. Kandarkar, V.A. Thakare, “Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.1-8, 2023.

MLA Style Citation: Rajdeep G. Kandarkar, V.A. Thakare "Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter." International Journal of Scientific Research in Mathematical and Statistical Sciences 10.6 (2023): 1-8.

APA Style Citation: Rajdeep G. Kandarkar, V.A. Thakare, (2023). Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter. International Journal of Scientific Research in Mathematical and Statistical Sciences, 10(6), 1-8.

BibTex Style Citation:
@article{Kandarkar_2023,
author = {Rajdeep G. Kandarkar, V.A. Thakare},
title = {Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2023},
volume = {10},
Issue = {6},
month = {12},
year = {2023},
issn = {2347-2693},
pages = {1-8},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3355},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=3355
TI - Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Rajdeep G. Kandarkar, V.A. Thakare
PY - 2023
DA - 2023/12/31
PB - IJCSE, Indore, INDIA
SP - 1-8
IS - 6
VL - 10
SN - 2347-2693
ER -

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Abstract :
In the present study, we investigated the anisotropic Bianchi type-VI0 model in the presence of strange quark matter with the appearance and non-appearance of strings in f(R) gravitation. In this case, R is the Ricci scalar of spacetime. Consider the following conditions to achieve an exact solution to the field equation. i) hybrid scale factor, ii) shear scalar(?) with expansion scalar(?), and iii) power-law relationship between scalar field F(R) and average scale factor a(t). We researched the models` physical and geometrical features and studied their behavior using graphical representation.

Key-Words / Index Term :
Bianchi type-VI0 model; strange quark matter; cosmic strings; f(R) gravity; Hybrid scale factor; Deceleration parameter, De-Sitter exapansion.

References :
[1] A. D. Miller et al., “A MEASUREMENT OF THE ANGULAR POWER SPECTRUM OF THE COSMIC MICROWAVE BACKGROUND FROM l = 100 TO 400,” The Astrophysical Journal, Vol.524, 1999.
[2] Y. Wang and M. Tegmark, “New Dark Energy Constraints from Supernovae, Microwave Background, and Galaxy Clustering,” Phys. Rev. Lett., Vol.92, No.24, pp.241302, 2004.
[3] A. G. Riess et al., “Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant,” The Astronomical Journal, Vol.116, No.3, pp.1009–1038, 1998.
[4] D. Huterer and M. S. Turner, “Prospects for probing the dark energy via supernova distance measurements,” Phys. Rev. D, Vol.60, No.8, pp.081301, 1999.
[5] S. Capozziello, S. Carloni, and A. Troisi, “Quintessence without scalar fields.”, arXiv preprint astro-ph/0303041 Mar. 03, 2003.
[6] S. Nojiri and S. D. Odintsov, “Modified gravity with negative and positive powers of curvature: Unification of inflation and cosmic acceleration,” Phys. Rev. D, vol. 68, no. 12, p. 123512, Dec. 2003.
[7] Y.-F. Cai, S. Capozziello, M. De Laurentis, and E. N. Saridakis, “f ( T ) teleparallel gravity and cosmology,” Rep. Prog. Phys., vol. 79, no. 10, p. 106901, Oct. 2016.
[8] T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, “f ( R , T ) gravity,” Phys. Rev. D, vol. 84, no. 2, p. 024020, Jul. 2011.
[9] S. Capozziello and M. Francaviglia, “Extended theories of gravity and their cosmological and astrophysical applications,” Gen Relativ Gravit, vol. 40, no. 2–3, pp. 357–420, Feb. 2008.
[10] S. Capozziello and M. De Laurentis, “Extended Theories of Gravity,” Physics Reports, vol. 509, no. 4–5, pp. 167–321, Dec. 2011.
[11] H. Weyl, “A new extension of the theory of relativity,” Ann. Phys, Vol.59, pp.101, 1919.
[12] A. S. Eddington, . `The mathematical theory of relativity`. Cambridge University Press, 1923.
[13] R. Ferraro, “f(R) and f(T) theories of modified gravity,” AIP Conference Proceedings. Vol.1471, pp. 103–110, 2012.
[14] G. C. Samanta and N. Godani, “Wormhole Modeling Supported by Non-Exotic Matter,” Mod. Phys. Lett. A, vol. 34, no. 28, p. 1950224, Sep. 2019.
[15] G. C. Samanta and N. Godani, “Validation of energy conditions in wormhole geometry within viable f (R) gravity,” The European Physical Journal C, vol. 79, pp. 1–11, 2019.
[16] G. C. Samanta and N. Godani, “Physical parameters for stable f (R) models,” Indian Journal of Physics, vol. 94, pp. 1303–1310, 2020.
[17] N. Godani and G. C. Samanta, “Non violation of energy conditions in wormholes modelling,” Mod. Phys. Lett. A, vol. 34, no. 28, p. 1950226, Sep. 2019.
[18] N. Godani and G. C. Samanta, “Wormhole modeling in f (R, T) gravity with minimally-coupled massless scalar field,” International Journal of Modern Physics A, vol. 35, no. 29, p. 2050186, 2020.
[19] Y. Aditya, R. L. Naidu, and D. R. K. Reddy, “Non-vacuum plane symmetric universe in f ( R ) gravity,” Results in Physics, vol. 12, pp. 339–343, Mar. 2019.
[20] M. F. Shamir, “Some Bianchi type cosmological models in f (R) gravity,” Astrophysics and Space Science, vol. 330, pp. 183–189, 2010.
[21] M. F. Shamir, “Plane symmetric vacuum Bianchi type III cosmology in f (R) gravity,” International Journal of Theoretical Physics, vol. 50, pp. 637–643, 2011.
[22] M. J. Amir and S. Sattar, “Locally rotationally symmetric vacuum solutions in f (R) gravity,” International Journal of Theoretical Physics, vol. 53, pp. 773–787, 2014.
[23] M. Sharif and M. F. Shamir, “Plane Symmetric Solutions in f(R) Gravity,” Mod. Phys. Lett. A, vol. 25, no. 15, pp. 1281–1288, May 2010.
[24] M. Sharif and H. R. Kausar, “Non-vacuum solutions of Bianchi type VI 0 universe in f (R) gravity,” Astrophysics and Space Science, vol. 332, no. 2, pp. 463–471, 2011.
[25] M. V. Santhi, D. M. Gusu, V. U. M. Rao, and G. Suryanarayana, “Locally Rotationally Symmetric Bianchi Type-I Cosmological Model in f (R, T) Gravity,” in Journal of Physics: Conference Series, IOP Publishing, Vol. 1344, no. 1, p. 012004,2019.
[26] M. Sharif and M. F. Shamir, “Exact Solutions of Bianchi Types $I$ and $V$ Spacetimes in $f(R)$ Theory of Gravity,” Class. Quantum Grav., vol. 26, no. 23, p. 235020, Dec. 2009.
[27] M. Sharif and H. R. Kausar, “Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity,” Physics Letters B, vol. 697, no. 1, pp. 1–6, Feb. 2011.
[28] Adhav K S, ““Bianchi Type III string cosmological Model in f (R) Gravity,” Bulgerian Journal Of Phyiscs, vol. 39(3); p. 197-206, 2012.
[29] D. Reddy, K. Adhav, and S. Munde, “Vacuum Solutions of Bianchi Type-I and V Models in f(R) Gravity with a Special Form of Deceleration Parameter,” Int.J.Advanced Science and Technology vol .4, no.3, Mar. 2014.
[30] K. Pawar and A. K. Dabre, “Bulk Viscous String Cosmological Model with Constant Deceleration Parameter in Teleparallel Gravity,” Int. J. Sci. Res. in Physics and Applied Sciences, vol. 10, no. 6, 2022..
[31] K. Pawar and N. T. Katre, “Anisotropic Bianchi Type-V Perfect Fluid Cosmological Models in f (R, T) Gravity,” Int. J. Sci. Res. in Physics and Applied Sciences , vol. 11, no. 4, 2023.
[32] M. Dey, I. Bombaci, J. Dey, S. Ray, and B. C. Samanta, “Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential,” Physics Letters B, vol. 438, no. 1–2, pp. 123–128, Oct. 1998.
[33] M. K. Mak and T. Harko, “Quark stars admitting a one-parameter group of conformal motions,” Int. J. Mod. Phys. D, vol. 13, no. 01, pp. 149–156, Jan. 2004.
[34] ?. Yavuz, ?. Y?lmaz, and H. Baysal, “Strange Quark Matter Attached to the String Cloud in the Spherical Symmetric Space-Time Admitting Conformal Motion,” Int. J. Mod. Phys. D, vol. 14, no. 08, pp. 1365–1372, Aug. 2005.
[35] K. S. Adhav, A. S. Nimkar, and M. V. Dawande, “String cloud and domain walls with quark matter in n-dimensional Kaluza-Klein cosmological model,” International Journal of Theoretical Physics, vol. 47, pp. 2002–2010, 2008.
[36] K. S. Adhav, A. S. Nimkar, V. B. Raut, and R. S. Thakare, “Strange quark matter attached to string cloud in Bianchi type-III space time,” Astrophysics and Space Science, vol. 319, pp. 81–84, 2009.
[37] G.S. Khadekar, “strange quark matter attached to the topological defects in general relativity,” International Journal of Theoretical Physics(48.9), pp.2550-2557, p. 48, 2009.
[38] S. D. Katore and A. Y. Shaikh, “Cosmological model with strange quark matter attached to cosmic string for axially symmetric space-time,” International Journal of Theoretical Physics, vol. 51, pp. 1881–1888, 2012.
[39] V. U. M. Rao and D. Neelima, “Axially symmetric space-time with strange Quark matter attached to string cloud in self creation theory and general relativity,” International Journal of Theoretical Physics, vol. 52, pp. 354–361, 2013.
[40] G. S. Khadekar and R. Wanjari, “Geometry of quark and strange quark matter in higher dimensional general relativity,” International Journal of Theoretical Physics, vol. 51, pp. 1408–1415, 2012.
[41] K. Pawar, A. Dabre, and P. Makode, “Plane Symmetric String Cosmological Model With Zero Mass Scalar Field In F(R) Gravity,” Astrophysics, vol. 66, pp. 385–397, Aug. 2023.
[42] V. Singh and C. P. Singh, “Functional form of f (R) with power-law expansion in anisotropic model,” Astrophysics and Space science, vol. 346, pp. 285–289, 2013.
[43] M. V. Santhi, Y. Sobhanbabu, and B. J. M. Rao, “Bianchi type V I h Bulk-Viscous String Cosmological Model in f(R) Gravity,” J. Phys.: Conf. Ser., vol. 1344, no. 1, p. 012038, Oct. 2019.
[44] C. B. Collins, E. N. Glass, and D. A. Wilkinson, “Exact spatially homogeneous cosmologies,” General Relativity and Gravitation, vol. 12, pp. 805–823, 1980.
[45] T. Chiba, T. L. Smith, and A. L. Erickcek, “Solar System constraints to general f (R) gravity,” Physical Review D, vol. 75, no. 12, p. 124014, 2007.
[46] K. Uddin, J. E. Lidsey, and R. Tavakol, “Cosmological perturbations in Palatini modified gravity,” Class. Quantum Grav., vol. 24, no. 15, pp. 3951–3962, Aug. 2007.
[47] Ö. Akarsu, S. Kumar, R. Myrzakulov, M. Sami, and L. Xu, “Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints,” Journal of Cosmology and Astroparticle Physics, vol. 2014, no. 01, p. 022, 2014.
[48] M. H. Chan, “The Energy Conservation in Our Universe and the Pressureless Dark Energy,” Journal of Gravity, vol. 2015, p. e384673, Jul. 2015.
[49] C. E. Cunha, M. Lima, H. Oyaizu, J. Frieman, and H. Lin, “Estimating the redshift distribution of photometric galaxy samples–II. Applications and tests of a new method,” Monthly Notices of the Royal Astronomical Society, vol. 396, no. 4, pp. 2379–2398, 2009.
[50] T. Chiba and T. Nakamura, “A Null Test of the Cosmological Constant,” Progress of Theoretical Physics, vol. 118, no. 4, pp. 815–819, Oct. 2007.
[51] V. Sahni, T. D. Saini, A. A. Starobinsky, and U. Alam, “Pisma,” Zh. Eksp. Teor. Fiz., vol. 77, p. 249, 2003.

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