Research Article
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Renyi Type Holographic Dark Energy

Year 2024, Issue: 48, 40 - 47, 30.09.2024
https://doi.org/10.53570/jnt.1509610

Abstract

Dark energy is one of the prominent mysteries of the universe that still awaits a solution. One of the plausible ways to collect data about any formation or understand its information capacity is to investigate the entropy of that formation. In this study, Renyi Holographic Dark Energy (RHDE) matter distribution is analyzed within the framework of General Relativity Theory, considering homogeneous and isotropic Friedmann-Robertson-Walker (FRW) space-time. Hubble parameter and RHDE density were used to obtain exact solutions of Einstein field equations. The analysis of the obtained solutions was performed by drawing evolution graphs for redshift $z$.

Supporting Institution

Çanakkale Onsekiz Mart University The Scientific Research Coordination Unit

Project Number

FHD-2023-4596

References

  • U. Y. Divya Prasanthi, Y. Aditya, Anisotropic Renyi holographic dark energy models in general relativity, Results in Physics 17 (2020) 103101 11 pages.
  • Q. Huang, H. Huang, B. Xu, F. Tu, J. Chen, Dynamical analysis and statefinder of Barrow holographic dark energy, European Physical Journal C 81 (8) (2021) Article Number 686 17 pages.
  • A. G. Cohen, D. B. Kaplan, A. E. Nelson, Effective field theory, black holes, and the cosmological constant, Physical Review Letters 82 (25) (1999) 4971-4974.
  • M. Li, A model of holographic dark energy, Physics Letters B 603 (1-2) (2004) 1-5.
  • X. Zhang, F. Q. Wu, Constraints on holographic dark energy from type Ia supernova observations, Physical Review D 72 (2005) 043524 17 pages.
  • J. Shen, B. Wang, E. Abdalla, R. K. Su, Constraints on the dark energy from the holographic connection to the small l CMB suppression [rapid communication], Physics Letters B 609 (3-4) (2005) 200-205.
  • C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, Journal of Statistical Physics 52 (1-2) (1988) 479-487.
  • H. Moradpour, S. A. Moosavi, I. P. Lobo, J. P. M. Graça, A. Jawad, I. G. Salako, Thermodynamic approach to holographic dark energy and the Renyi entropy, European Physical Journal C 78 (10) (2018) 829 6 pages.
  • B. Sharma, D. Mittal, New non-additive measures of relative information, Journal of Combinatorics Information & System Sciences 2 (4) (1977) 122-132.
  • V. C. Dubey, A. K. Mishra, U. K. Sharma, Diagnosing the Renyi holographic dark energy model in a flat universe, Astrophysics and Space Science 365 (2020) Article Number 129 9 pages.
  • C. Tsallis, L. J. L. Cirto, Black hole thermodynamical entropy, The European Physical Journal C 73 (7) (2013) Article Number 2487 7 pages.
  • S. Bhattacharjee, Interacting Tsallis and Renyi holographic dark energy with hybrid expansion law, Astrophysics and Space Science 365 (6) (2020) 103 8 pages.
  • A. Dixit, V. K. Bhardwaj, A. Pradhan, RHDE models in FRW Universe with two IR cut-offs with redshift parametrization, European Physical Journal Plus 135 (10) (2020) Article Number 831 13 pages.
  • U. K. Sharma, V. C. Dubey, Statefinder diagnostic for the Renyi holographic dark energy, New Astronomy 80 (2020) 101419 7 pages.
  • U. K. Sharma, V. C. Dubey, Renyi holographic dark energy in the Brans-Dicke cosmology, Modern Physics Letters A 35 (34) (2020) 2050281 11 pages.
  • A. Saha, A. Chanda, S. Dey, S. Ghose, B. C. Paul, Interacting and non-interacting Renyi holographic dark energy models in DGP braneworld, Modern Physics Letters A 38 (2) (2023) 2350024.
  • S. Saha, S. Chattopadhyay, E. Güdekli, A coupled-fluid approach to explore bounce and inflationary cosmology with Barrow holographic as the driving dark fluid, European Physical Journal C 84 (3) (2024) Article Number 314 30 pages.
  • Y. Liu, G. Mustafa, S. K. Maurya, G. D. A. Yildiz, E. Güdekli, Testing of Kerr black hole with quintessential dark energy through observational data by using quasi-periodic oscillations, Physics of the Dark Universe 42 (2023) 101311.
  • C. Ranjit, S. Islam, S. Chattopadhyay, E. Gudekli, Analysis of different scenarios with new Tsallis holographic dark energies and bulk viscous fluid in the framework of Chern-Simons modified gravity, International Journal of Modern Physics A 36 (19) (2021) 2150151.
  • A. O. Yılmaz, E. Güdekli, Dynamical system analysis of FLRW models with modified Chaplygin gas, Scientific Reports 11 (2021) 2750 9 pages.
  • M. Koussour, N. Myrzakulov, A. H. A. Alfedeel, E. I. Hassan, D. Sofuoğlu, S. M Mirgani, Squareroot parametrization of dark energy in f(Q) cosmology, Communications in Theoretical Physics 75 (12) (2023) 125403 10 pages.
  • M. Koussour, N. Myrzakulov, S. Myrzakulova, D. Sofuoğlu, A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models, Results in Physics 55 (2023) 107166.
  • S. K. J. Pacif, R. Myrzakulov, S. Myrzakul, Reconstruction of cosmic history from a simple parametrization of H, International Journal of Geometric Methods in Modern Physics 14 (07) (2017) 1750111 27 pages.
  • J. V. Cunha, Kinematic constraints to the transition redshift from supernovae type Ia union data, Physical Review D 79 (4) (2009) 047301 4 pages.
  • M. V. d. Santos, R. R. R. Reis, I. Waga, Constraining the cosmic deceleration-acceleration transition with type Ia supernova, BAO/CMB and H(z) data, Journal of Cosmology and Astroparticle Physics 2016 (2) (2016) 066 21 pages.
  • L. Xu, W. Li, J. Lu, Constraints on kinematic model from recent cosmic observations: SN Ia, BAO and observational Hubble data, Journal of Cosmology and Astroparticle Physics 2009 (7) (2009) 031 13 pages.
  • B. S. Haridasu, V. V. Lukovic, M. Moresco, N. Vittorio, An improved model-independent assessment of the late-time cosmic expansion, Journal of Cosmology and Astroparticle Physics 2018 (10) (2018) 015 38 pages.
Year 2024, Issue: 48, 40 - 47, 30.09.2024
https://doi.org/10.53570/jnt.1509610

Abstract

Project Number

FHD-2023-4596

References

  • U. Y. Divya Prasanthi, Y. Aditya, Anisotropic Renyi holographic dark energy models in general relativity, Results in Physics 17 (2020) 103101 11 pages.
  • Q. Huang, H. Huang, B. Xu, F. Tu, J. Chen, Dynamical analysis and statefinder of Barrow holographic dark energy, European Physical Journal C 81 (8) (2021) Article Number 686 17 pages.
  • A. G. Cohen, D. B. Kaplan, A. E. Nelson, Effective field theory, black holes, and the cosmological constant, Physical Review Letters 82 (25) (1999) 4971-4974.
  • M. Li, A model of holographic dark energy, Physics Letters B 603 (1-2) (2004) 1-5.
  • X. Zhang, F. Q. Wu, Constraints on holographic dark energy from type Ia supernova observations, Physical Review D 72 (2005) 043524 17 pages.
  • J. Shen, B. Wang, E. Abdalla, R. K. Su, Constraints on the dark energy from the holographic connection to the small l CMB suppression [rapid communication], Physics Letters B 609 (3-4) (2005) 200-205.
  • C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, Journal of Statistical Physics 52 (1-2) (1988) 479-487.
  • H. Moradpour, S. A. Moosavi, I. P. Lobo, J. P. M. Graça, A. Jawad, I. G. Salako, Thermodynamic approach to holographic dark energy and the Renyi entropy, European Physical Journal C 78 (10) (2018) 829 6 pages.
  • B. Sharma, D. Mittal, New non-additive measures of relative information, Journal of Combinatorics Information & System Sciences 2 (4) (1977) 122-132.
  • V. C. Dubey, A. K. Mishra, U. K. Sharma, Diagnosing the Renyi holographic dark energy model in a flat universe, Astrophysics and Space Science 365 (2020) Article Number 129 9 pages.
  • C. Tsallis, L. J. L. Cirto, Black hole thermodynamical entropy, The European Physical Journal C 73 (7) (2013) Article Number 2487 7 pages.
  • S. Bhattacharjee, Interacting Tsallis and Renyi holographic dark energy with hybrid expansion law, Astrophysics and Space Science 365 (6) (2020) 103 8 pages.
  • A. Dixit, V. K. Bhardwaj, A. Pradhan, RHDE models in FRW Universe with two IR cut-offs with redshift parametrization, European Physical Journal Plus 135 (10) (2020) Article Number 831 13 pages.
  • U. K. Sharma, V. C. Dubey, Statefinder diagnostic for the Renyi holographic dark energy, New Astronomy 80 (2020) 101419 7 pages.
  • U. K. Sharma, V. C. Dubey, Renyi holographic dark energy in the Brans-Dicke cosmology, Modern Physics Letters A 35 (34) (2020) 2050281 11 pages.
  • A. Saha, A. Chanda, S. Dey, S. Ghose, B. C. Paul, Interacting and non-interacting Renyi holographic dark energy models in DGP braneworld, Modern Physics Letters A 38 (2) (2023) 2350024.
  • S. Saha, S. Chattopadhyay, E. Güdekli, A coupled-fluid approach to explore bounce and inflationary cosmology with Barrow holographic as the driving dark fluid, European Physical Journal C 84 (3) (2024) Article Number 314 30 pages.
  • Y. Liu, G. Mustafa, S. K. Maurya, G. D. A. Yildiz, E. Güdekli, Testing of Kerr black hole with quintessential dark energy through observational data by using quasi-periodic oscillations, Physics of the Dark Universe 42 (2023) 101311.
  • C. Ranjit, S. Islam, S. Chattopadhyay, E. Gudekli, Analysis of different scenarios with new Tsallis holographic dark energies and bulk viscous fluid in the framework of Chern-Simons modified gravity, International Journal of Modern Physics A 36 (19) (2021) 2150151.
  • A. O. Yılmaz, E. Güdekli, Dynamical system analysis of FLRW models with modified Chaplygin gas, Scientific Reports 11 (2021) 2750 9 pages.
  • M. Koussour, N. Myrzakulov, A. H. A. Alfedeel, E. I. Hassan, D. Sofuoğlu, S. M Mirgani, Squareroot parametrization of dark energy in f(Q) cosmology, Communications in Theoretical Physics 75 (12) (2023) 125403 10 pages.
  • M. Koussour, N. Myrzakulov, S. Myrzakulova, D. Sofuoğlu, A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models, Results in Physics 55 (2023) 107166.
  • S. K. J. Pacif, R. Myrzakulov, S. Myrzakul, Reconstruction of cosmic history from a simple parametrization of H, International Journal of Geometric Methods in Modern Physics 14 (07) (2017) 1750111 27 pages.
  • J. V. Cunha, Kinematic constraints to the transition redshift from supernovae type Ia union data, Physical Review D 79 (4) (2009) 047301 4 pages.
  • M. V. d. Santos, R. R. R. Reis, I. Waga, Constraining the cosmic deceleration-acceleration transition with type Ia supernova, BAO/CMB and H(z) data, Journal of Cosmology and Astroparticle Physics 2016 (2) (2016) 066 21 pages.
  • L. Xu, W. Li, J. Lu, Constraints on kinematic model from recent cosmic observations: SN Ia, BAO and observational Hubble data, Journal of Cosmology and Astroparticle Physics 2009 (7) (2009) 031 13 pages.
  • B. S. Haridasu, V. V. Lukovic, M. Moresco, N. Vittorio, An improved model-independent assessment of the late-time cosmic expansion, Journal of Cosmology and Astroparticle Physics 2018 (10) (2018) 015 38 pages.
There are 27 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Research Article
Authors

Arzu Aktaş 0000-0001-9571-8012

İhsan Yılmaz 0000-0001-7684-9690

Project Number FHD-2023-4596
Publication Date September 30, 2024
Submission Date July 3, 2024
Acceptance Date August 6, 2024
Published in Issue Year 2024 Issue: 48

Cite

APA Aktaş, A., & Yılmaz, İ. (2024). Renyi Type Holographic Dark Energy. Journal of New Theory(48), 40-47. https://doi.org/10.53570/jnt.1509610
AMA Aktaş A, Yılmaz İ. Renyi Type Holographic Dark Energy. JNT. September 2024;(48):40-47. doi:10.53570/jnt.1509610
Chicago Aktaş, Arzu, and İhsan Yılmaz. “Renyi Type Holographic Dark Energy”. Journal of New Theory, no. 48 (September 2024): 40-47. https://doi.org/10.53570/jnt.1509610.
EndNote Aktaş A, Yılmaz İ (September 1, 2024) Renyi Type Holographic Dark Energy. Journal of New Theory 48 40–47.
IEEE A. Aktaş and İ. Yılmaz, “Renyi Type Holographic Dark Energy”, JNT, no. 48, pp. 40–47, September 2024, doi: 10.53570/jnt.1509610.
ISNAD Aktaş, Arzu - Yılmaz, İhsan. “Renyi Type Holographic Dark Energy”. Journal of New Theory 48 (September 2024), 40-47. https://doi.org/10.53570/jnt.1509610.
JAMA Aktaş A, Yılmaz İ. Renyi Type Holographic Dark Energy. JNT. 2024;:40–47.
MLA Aktaş, Arzu and İhsan Yılmaz. “Renyi Type Holographic Dark Energy”. Journal of New Theory, no. 48, 2024, pp. 40-47, doi:10.53570/jnt.1509610.
Vancouver Aktaş A, Yılmaz İ. Renyi Type Holographic Dark Energy. JNT. 2024(48):40-7.


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