Observational constraints on a logarithmic scalar field dark energy model and black hole mass evolution in the Universe

Wang D. Koussour M. Malik A. Myrzakulov N. Mustafa G.
July 2023 Institute for Ionics

European Physical Journal C
2023 #83 Issue 7

We propose a logarithmic parametrization form of energy density for the scalar field dark energy in the framework of the standard theory of gravity, which supports the necessary transition from the decelerated to the accelerated behavior of the Universe. The model under consideration is constrained by available observational data, including cosmic chronometers data-sets (CC), Baryonic Acoustic Oscillation (BAO) data-sets, and Supernovae (SN) data-sets, consisting of only two parameters α and β . The combined CC+BAO+SN data-sets yields a transition redshift of ztr=0.79-0.02+0.02 , where the model exhibits signature-flipping and is consistent with recent observations. For the combined data-sets, the present value of the deceleration parameter is calculated to be q0=-0.43-0.06+0.06 . Furthermore, the analysis yields constraints on both the parameter density value for matter and the present value of the Hubble parameter, with values of Ωm0=0.25849-0.00025+0.00026 and H0=67.79-0.59+0.59 km/s/Mpc, respectively, consistent with the results obtained from Planck 2018. Finally, the study investigates how the mass of a black hole evolves over time in a Universe with both matter and dark energy. It reveals that the black hole mass increases initially but stops increasing as dark energy dominates.

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Department of Mathematics, Changzhou College of Information Technology, Changzhou, 213164, China
Quantum Physics and Magnetism Team, LPMC, Faculty of Science Ben M’sik, Casablanca Hassan II University, Casablanca, Morocco
Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, 010009, Kazakhstan
Department of Physics, Zhejiang Normal University, Jinhua, 321004, China
New Uzbekistan University, Mustaqillik Ave. 54, Tashkent, 100007, Uzbekistan

Department of Mathematics
Quantum Physics and Magnetism Team
Department of Mathematics
L. N. Gumilyov Eurasian National University
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Physics
New Uzbekistan University

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