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Exploring holographic dark energy with Hubble’s and Granda–Oliveros horizons as the infrared cut-off in non-static plane symmetric space-time

https://orcid.org/0000-0003-4545-1975

Department of Mathematics, S. P. M. Science and Gilani Arts Commerce College, Ghatanji, District Yavatmal, Maharashtra 445301, India

E-mail Address: da_salim@rediff.com

Corresponding author.

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M. Muzammil

Department of Mathematics, Jagadamba Mahavidyalaya, Achalpur City, Achalpur, Maharashtra, India

E-mail Address: muzammilsimaan96@gmail.com

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R. V. Mapari

https://orcid.org/0000-0002-5724-9734

Department of Mathematics, Government Vidarbha Institute of Science and Humanities Amravati, Amravati, Maharashtra, India

E-mail Address: r.v.mapari@gmail.com

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G. U. Khapekar

https://orcid.org/0000-0001-5254-1202

Department of Mathematics, Jagadamba Mahavidyalaya, Achalpur City, Achalpur, Maharashtra, India

E-mail Address: ganeshkhapekar777@gmail.com

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, and

A. Dixit

https://orcid.org/0000-0002-1932-8431

Department of Mathematics, GLA University, Mathura, Uttar Pradesh 281406, India

E-mail Address: archana.dixit@gla.ac.in

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https://doi.org/10.1142/S021988782350233XCited by:2 (Source: Crossref)

Abstract

The current analysis uses the non-static plane symmetric space-time to dynamically examine the holographic dark energy model as candidates of IR cut-offs (specifically Hubble’s and Granda–Oliveros cut-off). Any other cut-off is just a specific example of the Nojiri–Odintsov cut-off, which is the most universal [S. Nojiri and S. D. Odintsov, Gen. Relativity Gravitation 38 (2006) 1285]. Using the Markov Chain Monte Carlo (MCMC) method, we estimate the best fit values for the model parameters imposed from the combined datasets of CC+SC+BAO. Now, it has been found that the characteristics of space-time that have been addressed and formulated using both models are flat universe and observed that the model appears to be in good agreement with the observations. In addition, we investigate the behavior of equation of state (EoS) parameters along with the energy conditions. Finally, we found that in both the cut-offs the models predict that the present and late universe are accelerating and the EoS parameter behaves like the quintessence model.

Keywords:

PACS: 98.80.Es, 98.80.-k

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