https://doi.org/10.1140/epjc/s10052-024-13196-5
Regular Article – Theoretical Physics
Constraining the parameters of generalized and viscous modified Chaplygin gas and black hole accretion in Einstein-Aether gravity
1
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, 711 103, Howrah, India
2
Department of Applied Mathematics, Delhi Technological University, 110042, Delhi, India
3
Pacif Institute of Cosmology and Selfology (PICS), Sagara, 768224, Sambalpur, Odisha, India
4
Department of Mathematics, Shyamlal College, University of Delhi, 110032, Delhi, India
5
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
Received:
25
May
2024
Accepted:
5
August
2024
Published online:
14
September
2024
In this paper, we investigate the phenomenon of the accelerated cosmic expansion in the late universe and the mass accretion process for a four-dimensional Einstein-Aether black hole. Starting with the basics of Einstein-Aether gravity theory, we first consider the field equations and two well-known models of Chaplygin gas, i.e., the generalized cosmic Chaplygin gas model and viscous modified Chaplygin gas model. We then obtain the energy density and Hubble parameter equations for these models in terms of various dimensionless density parameters and some unknown parameters. After finding the required parameters, we proceed with the mass accretion process. For both models, we obtain the equation of mass in terms of the redshift function and graphically represent the change in the mass of the black hole with a redshift. At the same time, we perform a graphical comparison between these models and the CDM model of the universe. Finally, we conclude that the mass of a four-dimensional black hole will increase along the evolution of the universe within the framework of Einstein-Aether gravity.
© The Author(s) 2024
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