Regular Article - Theoretical Physics
Accretion onto a quintessence contaminated rotating black hole: violating the lower limit for eta over s
Department of Mathematics, The University of Burdwan, Golapbag Academic Complex, Purba Bardhaman, 713104, Burdwan, West Bengal, India
2 Department of Computer Science, The University of Burdwan, Purba Bardhaman, 713104, Burdwan, West Bengal, India
Accepted: 7 October 2021
Published online: 12 November 2021
Viscous accretion flow around a rotating supermassive black hole sitting in a quintessence tub is studied in this article. To introduce such a dark energy contaminated black hole’s gravitational force, a new pseudo-Newtonian potential is used. This pseudo-Newtonian force can be calculated if we know the distance from the black hole’s center, spin of the black hole and equation of state of the quintessence inside which the black hole is considered to lie. This force helps us to avoid complicated nonlinearity of general relativistic field equations. Transonic, viscous, continuous and Keplerian flow is assumed to take place. Fluid speed, sonic speed profile and specific angular momentum to Keplerian angular momentum ratio are found out for different values of spin parameter and quintessence parameter. Density variation is built and tallied with observations. Shear viscosity to entropy density ratio is constructed for our model and a comparison with theoretical lower limit is done.
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