Abstract

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.

Highlights

  • Since 1998, despite the propositions of different conceptual models, we were not really able to construct a hundred percent correct theoretical support to the observations of late time cosmic acceleration

  • We recall about the cosmic coincidence problem [25] which can not be justified from the CDM model

  • We find the sound speed of wind branch decreases slowly as we go far from the black hole (BH)

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Summary

Introduction

Since 1998, despite the propositions of different conceptual models, we were not really able to construct a hundred percent correct theoretical support to the observations of late time cosmic acceleration. Different references like [60,61,62] predict that GWs should propagate freely without any absorption and dissipation if perfect fluid medium is considered to be embedded in Friedmann–Robertson–Walker universe is considered This scenario changes as soon as the fluid content is chosen to be non-ideal type [63], GW gets dissipated with a damping rate βD ≡ 16π G N η [64,65,66] when an amount of shear viscosity η is incorporated into the fluid’s energy momentum tensor, G N being the Newtonian gravitational constant. We cannot exclude the idea of existence of SMBH candidates like gravastars or boson stars etc These studies/realizations motivate us to consider quintessence contaminated BHs. Besides, DM clustering are chosen to be the cause of formation of different structures of universe, especially the galaxies.

Equations for pseudo Newtonian force
Sound and fluid speed equations
Profiles for accreting fluid speed
Profiles for accreting fluid density
Shear viscosity coefficient to entropy density ratio
Findings
Brief discussions and conclusions
Full Text
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