• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2021, Volume: 14, Issue: 18, Pages: 1468-1476

Original Article

Bianchi type-I cosmological model with Tsallis holographic dark energy in f(R,T) theory of gravity

Received Date:04 April 2021, Accepted Date:04 May 2021, Published Date:20 May 2021


Objectives: In the f(R, T) theory of gravity, to examine the Bianchi type-I model with dark matter and Tsallis holographic dark energy (THDE). Method: To acquire exact solutions of the field equations, we used THDE density and two separate volumetric expansions. The model’s physical properties are compared to current observational evidence. Findings/ Novelty: The universe is in accelerating stage for both volumetric expansion models and it reaches isotropy at a delayed time, according to the study of the deceleration parameter. In addition, our model acts as a lambda model.

Keywords: Bianchi type-I; THDE; f(R T) gravity; Isotropy; Lambda model


  1. Peebles PJE, Ratra B. The cosmological constant and dark energy. Reviews of Modern Physics. 2003;75(2):559–606. Available from: https://dx.doi.org/10.1103/revmodphys.75.559
  2. Tsallis C, Cirto LJL. Black hole thermodynamical entropy. The European Physical Journal C. 2013;73. Available from: https://dx.doi.org/10.1140/epjc/s10052-013-2487-6
  3. Cohen AG, Kaplan DB, Nelson AE. Effective Field Theory, Black Holes, and the Cosmological Constant. Physical Review Letters. 1999;82(25):4971–4974. Available from: https://dx.doi.org/10.1103/physrevlett.82.4971
  4. Guberina B, Horvat R, Nikolić H. Non-saturated holographic dark energy. Journal of Cosmology and Astroparticle Physics. 2007. Available from: https://dx.doi.org/10.1088/1475-7516/2007/01/012
  5. Tavayef M, Sheykhi A, Bamba K, Moradpour H. Tsallis holographic dark energy. Physics Letters B. 2018;781:195–200. Available from: https://dx.doi.org/10.1016/j.physletb.2018.04.001
  6. Zadeh MA, Sheykhi A, Bamba K, Moradpour H. Effects of anisotropy on the sign-changeable interacting Tsallis holographic dark energy. Modern Physics Letters A. 2020;35(09). Available from: https://dx.doi.org/10.1142/s0217732320500534
  7. Sharif M, Saba S. Tsallis Holographic Dark Energy in f(G,T) Gravity. Symmetry. 2019;11(1):92. Available from: https://dx.doi.org/10.3390/sym11010092
  8. Ghaffari S, Moradpour H, Lobo IP, Graça JPM, Bezerra VB. Tsallis holographic dark energy in the Brans–Dicke cosmology. The European Physical Journal C. 2018;78(9):706. Available from: https://dx.doi.org/10.1140/epjc/s10052-018-6198-x
  9. Ghaffari S, Moradpour H, Bezerra VB, Graça JPM, Lobo IP. Tsallis holographic dark energy in the brane cosmology. Physics of the Dark Universe. 2019;23:100246. Available from: https://dx.doi.org/10.1016/j.dark.2018.11.007
  10. Harko T, Lobo F, Nojiri S, Odintsov SD. f(R, T) gravity. Physical Review D. 2011;84:024020. Available from: https://doi.org/10.1103/PhysRevD.84.024020
  11. Samanta GC, Bishi BK. Geometry of the Universe Described by Wet Dark Fluid in f(R, T) Theory of Gravity. Iranian Journal of Science and Technology, Transactions A: Science. 2017;41(1):223–230. Available from: https://dx.doi.org/10.1007/s40995-017-0215-z
  12. Tiwari RK, Beesham A, Shukla BK. Time varying deceleration parameter in f(R, T) gravity: a general case. Afrika Matematika. 2021;p. 1–2. Available from: https://dx.doi.org/10.1007/s13370-021-00874-w
  13. Brahma BP, Dewri M. Bianchi type-V modified f(R, T) gravity model in Lyra geometry with varying deceleration parameter. Journal of Mathematical and Computational Science. 2021;11(1):1018–1028. Available from: https://doi.org/10.28919/jmcs/5281
  14. Dubey VC, Srivastava S, Sharma UK, Pradhan A. Tsallis holographic dark energy in Bianchi-I Universe using hybrid expansion law with k-essence. Pramana. 2019;93(5):78. Available from: https://dx.doi.org/10.1007/s12043-019-1843-y


© 2021 Sarma.This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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