Scenario of THDE model in Bianchi type VI0 Universe

In this paper, we study the anisotropic Bianchi type VI₀ metric that consists of Tsallis holographic dark energy (THDE) and dark matter (DM). The hybrid expansion law for the average scale factor is used to calculate some cosmological parameters and achieve exact solutions to Einstein's field equations. These parameters geometrical and physical behaviours demonstrate how the universe eventually becomes homogeneous, flat, and isotropic. Analyzing the equation of state (EoS) parameter also reveals that our model acts like a lambda cold dark matter (Λ) scenario in the late universe.

Bianchi-VI0 type, Hybrid expansion laws, Tsallis holographic dark energy model

1. Perlmutter S et al.. Measurements of Ω and Λ from 42 High-Redshift Supernovae. The Astrophysical Journal. 1999; 517: 565 586. https://doi.org/10.1086/307221 [Google Scholar] [Crossref]

2. Riess AG et al.. Observational Evidence from Supernovae for an Accelerating Universe and a Constant. The Astronomical Journal. 1998; 116: 1009-1038. https://doi.org/10.1086/300499. [Google Scholar] [Crossref]

3. Fedeli C, Moscardini L, Bartelmann M. Observing the clustering properties of galaxy clusters in dynamical dark-energy cosmologies. Astronomy &. Astrophysics. 2009; 500 : 667-679. https://doi.org/10.1051/0004-6361/200811477. [Google Scholar] [Crossref]

4. Peebles PJE, Ratra B. The cosmological constant and dark energy, Reviews of Modern Physics. 2003;75 (2): 559-606. https://dx.doi.org/10.1103/revmodphys.75.559 [Google Scholar] [Crossref]

5. Weinberg S. The cosmological constant problem. Review of Modern Physics. 1989; 61: 1-23. https://doi.org/10.1103/RevModPhys.61.1. [Google Scholar] [Crossref]

6. Barreiro T, Copeland EJ, Nunes NJ. Quintessence arising from exponential potentials. Physical Review D. 2000; 61, 12730. https://doi.org/10.1103/PhysRevD.61.127301. [Google Scholar] [Crossref]

7. Bagla JS, Jassal HK, Padmanabhan T. Cosmology with tachyon field as dark energy. Physical Review D. 2003; 67: 063504-063514. https://doi.org/10.1103/PhysRevD.67.063504. [Google Scholar] [Crossref]

8. Caldwell RR. A phantom menace? Cosmological consequences of a dark energy component with super-negative equation of state. Physics Letters B.2002; 545 : 23-29. https://doi.org/10.1016/s0370-2693(02)02589-3. [Google Scholar] [Crossref]

9. Picon CA, Mukhanov V, Steinhardt PJ. Essentials of k-essence. Physical Review D.2001; 63 : 103510-103522. https://doi.org/10.1103/PhysRevD.63.103510. [Google Scholar] [Crossref]

10. Bento MC, Bertolami O, Sen AA. Generalized Chaplygin gas, accelerated expansion, and dark-energy-matter unification. Physical Review D.2002; 66: 043507-043511. https://doi.org/10.1103/PhysRevD.66.043507. [Google Scholar] [Crossref]

11. Li M. A model of holographic dark energy. Physics Letters B.2004; 603: 1-5. https://doi.org/10.1016/j.physletb.2004.10.014. [Google Scholar] [Crossref]

12. Tsallis C, Cirto LJL. Black hole thermodynamical entropy. The European Physical Journal C. 2013;73, 2487. https://doi.org/10.1140/epjc/s10052-013-2487-6. [Google Scholar] [Crossref]

13. Susskind L. The world as a hologram. Journal of Mathematical Physics. 1995; 36: 6377-6396. https://doi.org/10.1063/1.531249. [Google Scholar] [Crossref]

14. Cohen AG, Kaplan DB, Nelson AE. Effective Field Theory, Black Holes, and the Cosmological Constant. Physical Review Letters. 1999; 82: 4971-4974. https://doi.org/10.1103/PhysRevLett.82.4971. [Google Scholar] [Crossref]

15. Guberina B, Horvat R, Nikolic H. Nonsaturated Holographic Dark Energy. Journal of Cosmology and Astroparticle Physics.2007; 01, 012. https://doi.org/10.1088/1475-7516/2007/01/012. [Google Scholar] [Crossref]

16. Santhi MV, Sobhanbabu Y. Tsallis holographic dark energy models in Bianchi type space time. New Astronomy . 2021;89,101648. https://doi.org/10.1016/j.newast. 2021.101648 [Google Scholar] [Crossref]

17. Pandey BD, Pankaj, Sharma UK. Phantom model for Tsallis holographic dark energy, International Journal of Geometric Methods in Modern Physics . 2022; 19(13):2250215, https://doi.org/10.1142/s0219887822502152 [Google Scholar] [Crossref]

18. Sadeghi J, Gashti SN, Azizi T. Tsallis holographic dark energy under complex form of quintessence model. Communications in Theoretical Physics. 2023; 75(2). [Google Scholar] [Crossref]

19. https://doi.org/10.1088/1572-9494/aca390 [Google Scholar] [Crossref]

20. Sharif M, Gul MZ, Hashim I. Cosmic evolution of Tsallis holographic dark energy model in f(R,T^2) gravity. Physics of the Dark universe. 2024;46,101606 https://doi.org/10.1016/j.dark.2024.101606 [Google Scholar] [Crossref]

21. Sarma N. Five dimensional cosmological model in the form of Tsallis HDE, Journal of Mathematical and Computational Science. 2021; 6481-6490 https://doi.org/10.28919/10.28919/jmcs/6265 [Google Scholar] [Crossref]

22. Sarma N. Bianchi type-I cosmological model with Tsallis holographic dark energy in f(R,T) theory of gravity, Indian Journal of Science and Technology. 2021;1468-1476 https://doi.org/10.17485/IJST/v14i18.581 [Google Scholar] [Crossref]

23. Adhav KS. LRS Bianchi Type-I Universe with Anisotropic Dark Energy in Lyra Geometry. International Journal of Astronomy and Astrophysics.2011; 1: 204-209. https://doi.org/10.4236/ijaa.2011.14026. [Google Scholar] [Crossref]

24. Akarsu O, Kumar S, Myrzakulov R, Sami M, Xu L. Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints. Journal of Cosmology and Astroparticle Physics. 2014; 01,022. https://doi.org/10.1088/1475-7516/2014/01/022. [Google Scholar] [Crossref]

25. Riess AG et al.. Type Ia Supernova Discoveries at z > 1 from the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution. The Astrophysical Journal.2004; 607: 665-687. https://doi.org/10.1086/383612. [Google Scholar] [Crossref]

26. Spergel DN et al.. First-Year Wilkinson Microwave Anisotropy Probe (WMAP)* Observations: Determination of Cosmological Parameters. The Astrophysical Journal Supplement Series.2003;148:175-194. https://doi.org/10.1086/377226. [Google Scholar] [Crossref]

27. Eisenstein DJ. et al.. Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies. The Astrophysical Journal. 2005; 633: 560-574. https://doi.org/10.1086/466512. [Google Scholar] [Crossref]

• Enhancing Formation Control of Multi Agent Systems Using Ann Based Technique
• Improving Sliding Mode Control with Chattering Reduction using Fuzzy Based Technique
• Cooking Quality, Fasting Blood Glucose, Glycemic Index and Load of High–Fiber Noodles Made from Wheat, Tiger Nut Residue and Cassava Flour Blends
• Matrix Rhythm Therapy Versus Interferential Therapy Combined with Lumbar Stabilization Exercises in Chronic Non-Specific Low Back Pain: A Randomized Comparative Trial
• Formulation and Sensory Evaluation of Functional Cake Prepared from Sweet Potato Powder