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Scalar field dark energy: insights into cosmological evolution and black hole accretion

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Abstract

We propose a novel approach to parameterize the equation of state for Scalar Field Dark Energy (SFDE) and use it to derive analytical solutions for various cosmological parameters. Using statistical MCMC with Bayesian techniques, we obtain constraint values for the model parameters and analyze three observational datasets. We find a quintessence-like behavior for Dark Energy (DE) with positive values for both model parameters \(\alpha \) and \(\beta \). Our analysis of the CC+BAO+SNe datasets reveals that the transition redshift and the current value of the deceleration parameter are \(z_{tr}=0.73_{-0.01}^{+0.03}\) and \(q_{0}=-0.44_{-0.02}^{+0.03}\), respectively. We also investigate the fluid flow of accretion SFDE around a Black Hole (BH) and analyze the nature of the BH’s dynamical mass during accretion, taking into account Hawking radiation and BH evaporation. Our proposed model offers insight into the nature of DE in the Universe and the behavior of BHs during accretion.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University (IMSIU), Saudi Arabia, for funding this research work through Grant No. (221412042).

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Authors and Affiliations

  1. Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco

    M. Koussour

  2. Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, 010009, Kazakhstan

    Y. Sekhmani & N. Myrzakulov

  3. Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), 13318, Riyadh, Saudi Arabia

    Alnadhief H. A. Alfedeel

  4. Department of Physics, Faculty of Science, University of Khartoum, P.O. Box 321, 11115, Khartoum, Sudan

    Alnadhief H. A. Alfedeel

  5. Centre for Space Research, North-West University, Potchefstroom, 2520, South Africa

    Alnadhief H. A. Alfedeel

  6. Department of Mathematics, Omdurman Islamic Univerity, Khartoum, Sudan

    F. Awad

  7. Alneelain Center for Mathematical Sciences, Alaneelain University, Kartoum, Sudan

    F. Awad

  8. L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

    N. Myrzakulov

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  1. M. Koussour
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Koussour, M., Sekhmani, Y., Alfedeel, A.H.A. et al. Scalar field dark energy: insights into cosmological evolution and black hole accretion. Eur. Phys. J. Plus 138, 1030 (2023). https://doi.org/10.1140/epjp/s13360-023-04666-y

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