Analytical study of black tide model of QSOs.

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Quasars: Black Holes, Quasars: Models

Scientific paper

An analytical study of the quasar models employing a black hole in a galactic nucleus is made. The black hole is considered to be embedded in two-component isothermal spheres which grow (mainly by tidally disrupting stars) in galactic nuclei, and destroys the stellar population giving rise to the power source of QSOs, Seyfert nuclei, and radio galaxy phenomena. Some important physical parameters, such as the gravitational potential ψ(ξ) and its derivative are calculated. The author also gives the values of ratio of density to central density ζ(ξ)/ζ(0) and Φ(ξ) for two chosen values of μ (=m2/m1 = ratio of 'heavy' particles to 'light' particles), equal to 2 and 3. Runs of ratio of total mass of heavy particles to the whole mass M2/M and the energy T with radial distance ξ are illustrated. More importantly, the closed form expressions for the mass apportionment M2/M1 which might cause destabilizing effects in the system and be responsible for heavy particles to sink to the centre displacing the lighter particles outward, are obtained. The simple and closed form expression for the consumption rate Φ(ξ) of the central black hole is derived. In addition, the general scenario of rate of fall of mass onto the star is presented.

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