Abstract
The universal lower bound of the ratio of shear viscosity to entropy density is suggested by the string theory and gauge duality for any matter. We examined the ratio of shear viscosity to entropy density for viscous accretion flow towards a central gravitating object in the presence of dark energy. The ratio appears close to the universal lower bound for certain optically thin, hot accretion flows as they are embedded by strong magnetic field. Dark energy is a kind of exotic matter which has negative pressure. So dark energy creates repulsive force between the accreting particles, which indicates that shear viscosity of the flow becomes very low. Dark energy as accreting fluid has very high entropy density. The ratio should reach near to the lowest value for dark energy accretion. We wish to study what happens to the shear viscosity to entropy density ratio for viscous dark energy accretion flow.
Highlights
Interacting quantum field theories depict a description of dual holographic natures of many states among which the black Holes (BHs) in Anti de-Sitter (AdS) space is a well known one
References [15,17,18] depicted the upper bound on the Gauss–Bonnet coupling constant to satisfy the theoretical lower bound of η s
It was concluded that per “Planckian time” [21,22], the ratio of shear viscosity to entropy density is equal to the logarithmic increase of the entropy production
Summary
Interacting quantum field theories depict a description of dual holographic natures of many states among which the black Holes (BHs) in Anti de-Sitter (AdS) space is a well known one. It is followed from the reference [30] that viscous Chaplygin gas accretion increases the strength of outflowing wind and decreases the effective disc length as we increase the viscosity.
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